Edit Profile (opens in new tab) Gao, Yitian Compute Distance To: Compute Author ID: gao.yitian Published as: Gao, Yi-Tian; Gao, Yitian; Gao, Yi Tian more...less Documents Indexed: 158 Publications since 1994 Co-Authors: 70 Co-Authors with 138 Joint Publications 2,391 Co-Co-Authors all top 5 Co-Authors 4 single-authored 40 Tian, Bo 38 Yu, Xin 22 Sun, Zhiyuan 20 Wang, Lei 16 Gai, Xiaoling 15 Meng, Dexin 12 Ding, Cui-Cui 12 Liu, Ying 11 Deng, Gao-Fu 11 Su, Chuanqi 10 Meng, Xianghua 9 Feng, Yujie 8 Yang, Jinwei 7 Jia, Tingting 7 Meng, Gao-Qing 7 Shen, Yujia 7 Zhang, Chun-Yi 6 Hu, Lei 6 Li, Liu-Qing 6 Lin, Guo-Dong 6 Qin, Yi 6 Su, Jingjing 6 Wei, Guangmei 6 Xu, Tao 6 Xu, Xiaoge 6 Xue, Long 6 Zuo, Dawei 5 Lan, Zhongzhou 5 Wen, Xiaoyong 4 Feng, Qian 4 Huang, Qian-Min 4 Li, Juan 4 Lü, Xing 4 Qi, Fenghua 4 Sun, Fuwei 4 Wang, Ming-Zhen 4 Xu, Pengbo 3 Gao, Zhe 3 Jia, Shu-Liang 3 Li, He 3 Sun, Yuhao 3 Wang, Qi-Min 3 Zhao, Chen 2 Hu, Wei 2 Liu, Feiyan 2 Mao, Bing-Qing 2 Zhang, Haiqiang 2 Zhu, Hongwu 2 Zhu, Shunhui 1 Bączyk, P. 1 Bo, Tian 1 Cai, Jiu-Xian 1 Cecelja, F. 1 Dobaczewski, Jacek 1 Dudek, Jozef Jon 1 Guo, Rui 1 Hong, Woo-Pyo 1 Hu, Wen-Qiang 1 Jiang, Yan 1 Jiao, Zhengming 1 Kokossis, A. C. 1 Konieczka, M. 1 Li, Lili 1 Li, Wei 1 Li, Yezhou 1 Liu, Jian Guo 1 Liu, Li-Cai 1 Nie, Jingfang 1 Randall, R. B. 1 Satuła, W. 1 Schunck, N. 1 Shan, Wenrui 1 Sun, Wen-Rong 1 Sun, Ya 1 Wang, Yale 1 Werner, T. R. 1 Xie, Xi-Yang 1 Xue, Yushan 1 Zhang, Cai-Yin 1 Zhang, Cheng 1 Zhang, Yaxing 1 Zhao, Keyou all top 5 Serials 15 Nonlinear Dynamics 14 Applied Mathematics and Computation 13 Physics Letters. A 11 Communications in Theoretical Physics 10 Acta Mechanica 10 Applied Mathematics Letters 9 Chaos, Solitons and Fractals 9 Communications in Nonlinear Science and Numerical Simulation 8 Computers & Mathematics with Applications 7 Physica Scripta 5 International Journal of Modern Physics B 5 Journal of Optimization Theory and Applications 3 Computer Physics Communications 3 International Journal of Theoretical Physics 3 Journal of Mathematical Analysis and Applications 3 Annals of Physics 3 International Journal of Modern Physics C 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mechanics Research Communications 2 Journal of Physics A: Mathematical and General 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Journal of Sound and Vibration 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Mathematics and Computers in Simulation 1 Acta Mathematica Hungarica 1 Computational Mechanics 1 Applied Mathematical Modelling 1 International Journal of Computational Fluid Dynamics 1 Abstract and Applied Analysis 1 Journal of Modern Optics 1 Czechoslovak Journal of Physics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Applied Algebra and Discrete Structures 1 Waves in Random and Complex Media 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 122 Partial differential equations (35-XX) 51 Fluid mechanics (76-XX) 47 Dynamical systems and ergodic theory (37-XX) 22 Computer science (68-XX) 15 Optics, electromagnetic theory (78-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of deformable solids (74-XX) 7 Quantum theory (81-XX) 6 Numerical analysis (65-XX) 5 Special functions (33-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 960 times in 447 Documents Cited by ▼ Year ▼ Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation. Zbl 1160.37401Tian, Bo; Wei, Guang-Mei; Zhang, Chun-Yi; Shan, Wen-Rui; Gao, Yi-Tian 49 2006 Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028Tian, Bo; Gao, Yi-Tian 43 2007 Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. Zbl 1203.81067Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu 43 2007 Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043Tian, Bo; Gao, Yi-Tian 39 2005 Reply to: “Comment on: ‘Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]. Zbl 1325.35192Gao, Yi-Tian; Tian, Bo 38 2007 Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451Tian, Bo; Gao, Yi-Tian 37 2005 Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. Zbl 0976.65092Gao, Yitian; Tian, Bo 34 2001 On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Zbl 1145.35452Tian, Bo; Gao, Yi-Tian 30 2005 \(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying 27 2010 Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan 22 2009 Beyond travelling waves: A new algorithm for solving nonlinear evolution equations. Zbl 0923.65068Tian, Bo; Gao, Yi-Tian 20 1996 Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin 20 2014 Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying 19 2009 Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying 19 2012 Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui 19 2019 Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568Gao, Y. 18 2000 Generalized tanh method with symbolic computation and generalized shallow water wave equation. Zbl 0873.76061Gao, Yitian; Tian, Bo 17 1997 Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations. Zbl 1020.35527Tian, Bo; Gao, Yi-Tian 14 1995 New family of overturning soliton solutions for a typical breaking soliton equation. Zbl 0836.35140Gao, Yi-Tian; Tian, Bo 12 1995 Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu 12 2019 Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu 11 2006 Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi 11 2006 Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation. Zbl 1220.81121Xu, Tao; Li, Juan; Zhang, Hai-Qiang; Zhang, Ya-Xing; Hu, Wei; Gao, Yi-Tian; Tian, Bo 10 2008 Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi 10 2012 Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu 10 2017 Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua 10 2010 Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo 10 2011 Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei 10 2019 Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying 9 2013 New families of exact solutions to the integrable dispersive long wave equations in \((2+1)\)-dimensional spaces. Zbl 0896.35131Tian, Bo; Gao, Yitian 9 1996 The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation. Zbl 1053.37059Tian, Bo; Gao, Yi-Tian; Hong, Woopyo. 9 2002 The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019Gao, Y.; Wang, M. Z. 9 2004 Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu 9 2017 The refined theory of beams for a transversely isotropic body. Zbl 1140.74474Gao, Y.; Xu, B. X.; Zhao, B. S. 8 2007 The refined theory of rectangular curved beams. Zbl 1117.74031Gao, Y.; Wang, M. Z.; Zhao, B. S. 8 2007 A refined beam theory based on the refined plate theory. Zbl 1078.74022Gao, Y.; Wang, M. Z. 8 2005 Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao 8 2015 Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin 8 2011 Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe 7 2016 Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin 7 2011 Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation. Zbl 1073.35532Tian, Bo; Gao, Yi-Tian 7 1996 Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation. Zbl 1096.76012Gao, Yitian; Tian, Bo; Zhang, Chunyi 7 2006 Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei 7 2018 Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong 7 2012 Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei 7 2015 Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui 7 2019 \((2+1)\)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation. Zbl 1173.35702Tian, Bo; Li, He; Gao, Yi-Tian 6 2005 Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong 6 2009 On the generalized \(\tanh\) method for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1020.35516Tian, Bo; Gao, Yi-Tian 6 1995 Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting 6 2020 Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma. Zbl 1448.35084Ding, Cui-Cui; Gao, Yi-Tian; Li, Liu-Qing 6 2019 On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics. Zbl 0903.35062Gao, Y. T.; Tian, B. 5 1998 Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023Gao, Y. 5 2004 Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin 5 2011 \(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua 5 2012 Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. Zbl 1458.35371Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing 5 2021 Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi 5 2014 Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation. Zbl 0855.35118Tian, Bo; Gao, Yi-Tian 4 1996 Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long 4 2014 Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia 4 2016 Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266Wen, Xiao-Yong; Gao, Yi-Tian 4 2010 Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves. Zbl 0997.76013Gao, Yitian; Bo, Tian 4 2002 Using symbolic computation to exactly solve for the Bogoyavlenskii’s generalized breaking soliton equation. Zbl 0870.35099Gao, Yi-Tian; Tian, Bo 4 1997 Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra. Zbl 0881.35105Tian, Bo; Gao, Yi-Tian 4 1997 On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018Tian, Bo; Li, Wei; Gao, Yitian 4 2003 Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei 4 2011 Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin 4 2010 On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui 4 2019 Soliton-like solutions for a \((2+1)\)-dimensional generalization of the shallow water wave equations. Zbl 1080.35527Tian, Bo; Gao, Yi-Tian 3 1996 \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023Wen, Xiao-Yong; Gao, Yi-Tian 3 2012 Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing 3 2009 Exact solutions for the Bogoyavlenskiĭcoupled KdV equations. Zbl 1020.35526Tian, Bo; Gao, Yi Tian 3 1995 Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012Gao, Y. 3 2006 Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing 3 2012 Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong 3 2011 Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin 3 2011 Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056Huang, Qian-Min; Gao, Yi-Tian 3 2017 Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong 3 2010 Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin 3 2011 Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei 3 2011 Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. Zbl 1462.35132Feng, Yu-Jie; Gao, Yi-Tian; Li, Liu-Qing; Jia, Ting-Ting 3 2021 Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique. Zbl 1467.76022Hu, Lei; Gao, Yi-Tian; Jia, Ting-Ting; Deng, Gao-Fu; Li, Liu-Qing 3 2021 Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying 3 2012 Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z. 2 2012 Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui 2 2010 N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo 2 2011 Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. Zbl 1275.76227Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei 2 2011 The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033Gao, Y.; Xu, B. X.; Zhao, B. S. 2 2007 Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions. Zbl 0890.35136Tian, Bo; Gao, Yi-Tian 2 1997 Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld-Sokolov-Satsuma-Hirota system in fluids and plasmas. Zbl 1279.35080Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin 2 2013 Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo 2 2012 An inexact SQP Newton method for convex SC\(^{1}\) minimization problems. Zbl 1197.90314Chen, Y. D.; Gao, Y.; Liu, Y.-J. 2 2010 \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling 2 2011 The influence of \(IC\Phi\)-subgroups on the structure of finite groups. Zbl 07399057Gao, Y.; Li, X. 2 2021 Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei 2 2008 Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling 2 2012 Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas. Zbl 1041.68134Tian, Bo; Gao, Yi-Tian 2 2003 Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients. Zbl 1443.35127Hu, Wen-Qiang; Gao, Yi-Tian; Lan, Zhong-Zhou; Su, Chuan-Qi; Feng, Yu-Jie 2 2017 Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate. Zbl 1470.35125Su, Chuan-Qi; Gao, Yi-Tian; Xue, Long; Wang, Qi-Min 2 2016 Solitons, Bäcklund transformation and Lax pair for a \((2+1)\)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth. Zbl 1465.37080Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Mao, Bing-Qing 2 2017 Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. Zbl 1458.35371Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing 5 2021 Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. Zbl 1462.35132Feng, Yu-Jie; Gao, Yi-Tian; Li, Liu-Qing; Jia, Ting-Ting 3 2021 Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique. Zbl 1467.76022Hu, Lei; Gao, Yi-Tian; Jia, Ting-Ting; Deng, Gao-Fu; Li, Liu-Qing 3 2021 The influence of \(IC\Phi\)-subgroups on the structure of finite groups. Zbl 07399057Gao, Y.; Li, X. 2 2021 Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Zbl 07514495Liu, Fei-Yan; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Deng, Gao-Fu; Jia, Ting-Ting 1 2021 Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting 6 2020 Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. Zbl 1483.35207Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu; Wang, Dong 1 2020 Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui 19 2019 Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu 12 2019 Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei 10 2019 Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui 7 2019 Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma. Zbl 1448.35084Ding, Cui-Cui; Gao, Yi-Tian; Li, Liu-Qing 6 2019 On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui 4 2019 Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei 7 2018 Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu 10 2017 Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu 9 2017 Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056Huang, Qian-Min; Gao, Yi-Tian 3 2017 Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients. Zbl 1443.35127Hu, Wen-Qiang; Gao, Yi-Tian; Lan, Zhong-Zhou; Su, Chuan-Qi; Feng, Yu-Jie 2 2017 Solitons, Bäcklund transformation and Lax pair for a \((2+1)\)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth. Zbl 1465.37080Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Mao, Bing-Qing 2 2017 Rogue waves in baroclinic flows. Zbl 1377.37103Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long; Sun, Yu-Hao 1 2017 Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water. Zbl 1366.37136Lan, Zhong-Zhou; Gao, Yi-Tian; Zhao, Chen; Yang, Jin-Wei; Su, Chuan-Qi 1 2017 Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe 7 2016 Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia 4 2016 Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate. Zbl 1470.35125Su, Chuan-Qi; Gao, Yi-Tian; Xue, Long; Wang, Qi-Min 2 2016 Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics. Zbl 1410.35182Shen, Yu-Jia; Gao, Yi-Tian; Meng, Gao-Qing; Qin, Yi; Yu, Xin 1 2016 Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao 8 2015 Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei 7 2015 Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin 20 2014 Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi 5 2014 Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long 4 2014 Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. Zbl 1368.35256Meng, Gao-Qing; Gao, Yi-Tian; Sun, Yu-Hao; Qin, Yi; Yu, Xin 1 2014 Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying 9 2013 Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld-Sokolov-Satsuma-Hirota system in fluids and plasmas. Zbl 1279.35080Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin 2 2013 Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation. Zbl 1270.37047Xu, Xiao-Ge; Meng, Xiang-Hua; Zhang, Chun-Yi; Gao, Yi-Tian 1 2013 Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying 19 2012 Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi 10 2012 Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong 7 2012 \(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua 5 2012 \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023Wen, Xiao-Yong; Gao, Yi-Tian 3 2012 Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing 3 2012 Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying 3 2012 Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z. 2 2012 Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo 2 2012 Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling 2 2012 Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: \(N\)-fold Darboux transformation and conservation laws. Zbl 1264.37031Wen, Xiao-Yong; Gao, Yi-Tian; Xue, Yu-Shan; Guo, Rui; Qi, Feng-Hua; Yu, Xin 1 2012 Analytic localized solitonic excitations for the \((2+1)\)-dimensional variable-coefficient breaking soliton model in fluids and plasmas. Zbl 1268.35104Sun, Fu-Wei; Cai, Jiu-Xian; Gao, Yi-Tian 1 2012 Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1278.35218Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Qin, Yi 1 2012 Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo 10 2011 Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin 8 2011 Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin 7 2011 Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin 5 2011 Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei 4 2011 Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong 3 2011 Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin 3 2011 Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin 3 2011 Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei 3 2011 N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo 2 2011 Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. Zbl 1275.76227Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei 2 2011 \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling 2 2011 Infinite sequence of conservation laws and analytic solutions for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1264.35204Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying 1 2011 \(N\)-soliton solutions for the \((2+1)\)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers. Zbl 1213.35172Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Meng, Xiang-Hua; Liu, Ying; Feng, Qian; Wang, Ming-Zhen 1 2011 \(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying 27 2010 Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua 10 2010 Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266Wen, Xiao-Yong; Gao, Yi-Tian 4 2010 Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin 4 2010 Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong 3 2010 Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui 2 2010 An inexact SQP Newton method for convex SC\(^{1}\) minimization problems. Zbl 1197.90314Chen, Y. D.; Gao, Y.; Liu, Y.-J. 2 2010 Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model. Zbl 1188.37066Xu, Xiao-Ge; Meng, Xiang-Hua; Sun, Fu-Wei; Gao, Yi-Tian 1 2010 Vandermonde-type odd-soliton solutions for the Whitham-Broer-Kaup model in the shallow water small-amplitude regime. Zbl 1200.35274Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Yu, Xin; Sun, Zhi-Yuan 1 2010 Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan 22 2009 Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying 19 2009 Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong 6 2009 Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing 3 2009 Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation. Zbl 1220.81121Xu, Tao; Li, Juan; Zhang, Hai-Qiang; Zhang, Ya-Xing; Hu, Wei; Gao, Yi-Tian; Tian, Bo 10 2008 Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei 2 2008 Symbolic computation on integrable decompositions for the cylindrical Kadomtsev-Petviashvili equation from dusty plasmas and Bose-Einstein condensates. Zbl 1175.76169Li, Juan; Xu, Tao; Zhang, Hai-Qiang; Gao, Yi-Tian; Tian, Bo 1 2008 Bäcklund transformation and analytic solutions for a generalized variable-coefficient modified Korteweg-de Vries model from fluid dynamics and plasmas. Zbl 1175.35130Sun, Fu-Wei; Gao, Yi-Tian; Zhang, Chun-Yi; Xu, Xiao-Ge 1 2008 Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028Tian, Bo; Gao, Yi-Tian 43 2007 Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. Zbl 1203.81067Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu 43 2007 Reply to: “Comment on: ‘Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]. Zbl 1325.35192Gao, Yi-Tian; Tian, Bo 38 2007 The refined theory of beams for a transversely isotropic body. Zbl 1140.74474Gao, Y.; Xu, B. X.; Zhao, B. S. 8 2007 The refined theory of rectangular curved beams. Zbl 1117.74031Gao, Y.; Wang, M. Z.; Zhao, B. S. 8 2007 The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033Gao, Y.; Xu, B. X.; Zhao, B. S. 2 2007 Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics. Zbl 1355.35040Li, Ye-Zhou; Liu, Jian-Guo; Wei, Guang-Mei; Gao, Yi-Tian 1 2007 On the boundary conditions for transversely isotropic piezoelectric plates. Zbl 1192.74231Xu, S. P.; Gao, Y.; Wang, W. 1 2007 Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation. Zbl 1160.37401Tian, Bo; Wei, Guang-Mei; Zhang, Chun-Yi; Shan, Wen-Rui; Gao, Yi-Tian 49 2006 Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu 11 2006 Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi 11 2006 Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation. Zbl 1096.76012Gao, Yitian; Tian, Bo; Zhang, Chunyi 7 2006 Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012Gao, Y. 3 2006 Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043Tian, Bo; Gao, Yi-Tian 39 2005 Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451Tian, Bo; Gao, Yi-Tian 37 2005 On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Zbl 1145.35452Tian, Bo; Gao, Yi-Tian 30 2005 A refined beam theory based on the refined plate theory. Zbl 1078.74022Gao, Y.; Wang, M. Z. 8 2005 \((2+1)\)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation. Zbl 1173.35702Tian, Bo; Li, He; Gao, Yi-Tian 6 2005 The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019Gao, Y.; Wang, M. Z. 9 2004 Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023Gao, Y. 5 2004 On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018Tian, Bo; Li, Wei; Gao, Yitian 4 2003 Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas. Zbl 1041.68134Tian, Bo; Gao, Yi-Tian 2 2003 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 611 Authors 88 Tian, Bo 49 Gao, Yitian 21 Meng, Xianghua 21 Yu, Xin 20 Liu, Wenjun J. 19 Xu, Tao 17 Wang, Pan 16 Jiang, Yan 16 Lü, Xing 15 Sun, Zhiyuan 15 Zhang, Hongqing 13 Li, Min 13 Qu, Qixing 13 Wang, Lei 11 Meng, Dexin 11 Zhang, Haiqiang 10 Shan, Wenrui 10 Sun, Kun 10 Wei, Guangmei 10 Zhang, Chun-Yi 9 Gai, Xiaoling 9 Qi, Fenghua 9 Wang, Ming 8 Chen, Yong 8 Li, Bangqing 8 Wen, Xiaoyong 7 Biswas, Anjan 7 Li, He 7 Li, Juan 7 Ma, Yulan 7 Xue, Yushan 7 Zhang, Yi 6 Gao, Xinyi 6 Li, Lili 6 Liu, Jian Guo 6 Liu, Ying 6 Meng, Gao-Qing 6 Qin, Bo 6 Song, Lina 6 Wang, Yufeng 6 Zhang, Sheng 6 Zhen, Hui-Ling 6 Zhu, Wenhui 5 Chen, Su-Su 5 Fan, Engui 5 Guo, Yongjiang 5 Li, Biao 5 Li, Xiaonan 5 Liang, Yueqian 5 Ma, Wen-Xiu 5 Shen, Yujia 5 Sun, Wen-Rong 5 Tang, Yaning 5 Tian, Shoufu 5 Triki, Houria 5 Wazwaz, Abdul-Majid Abdul-Rahman 5 Yu, Fajun 5 Zhang, Chen-Rong 5 Zhang, Cheng 5 Zhang, Tiantian 4 Chen, Yiren 4 Cheng, Li 4 Dehghan Takht Fooladi, Mehdi 4 Du, Xia-Xia 4 Feng, Yujie 4 Guo, Rui 4 Kofané, Timoléon Crépin 4 Lan, Zhongzhou 4 Lin, Zhiqiang 4 Liu, Hanze 4 Lu, Dianchen 4 Su, Jingjing 4 Sun, Ya 4 Xin, Xiangpeng 4 Xu, Xiaoge 4 Zhao, Xue-Hui 4 Zhu, Hongwu 4 Zuo, Dawei 3 Ai, Guo-Ping 3 Choudhury, Sudipto Roy 3 Ding, Cui-Cui 3 Feng, Qian 3 Gupta, Rajesh Kumar 3 He, Yan 3 Huang, Qian-Min 3 Li, Dejun 3 Lin, Guo-Dong 3 Liu, Li-Cai 3 Ma, Zhengyi 3 Mirzazadeh, Mohammad 3 Pakzad, Hamid Reza 3 Qin, Yi 3 Rezazadeh, Hadi 3 Russo, Matthew 3 Singh, Manjit 3 Wang, Dengshan 3 Wang, Jing 3 Wang, Qi 3 Xie, Fuding 3 Xu, Pengbo ...and 511 more Authors all top 5 Cited in 83 Serials 73 Nonlinear Dynamics 66 Applied Mathematics and Computation 29 Applied Mathematics Letters 22 Computers & Mathematics with Applications 21 Communications in Nonlinear Science and Numerical Simulation 18 International Journal of Modern Physics B 12 Journal of Mathematical Physics 11 International Journal of Computer Mathematics 10 Chaos, Solitons and Fractals 8 International Journal of Modern Physics C 8 Advances in Difference Equations 7 International Journal of Theoretical Physics 7 ZAMP. 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