Edit Profile (opens in new tab) Xia, Tie-Cheng Co-Author Distance Author ID: xia.tie-cheng Published as: Xia, Tiecheng; Xia, Tie-Cheng; Xia, Tie-cheng; Xia, T. more...less Homepage: http://www.sci.shu.edu.cn/Default.aspx?tabid=17204&ctl=Detail&mid=31211&Id=60007... Documents Indexed: 191 Publications since 1999, including 6 Additional arXiv Preprints Co-Authors: 84 Co-Authors with 188 Joint Publications 1,921 Co-Co-Authors all top 5 Co-Authors 3 single-authored 28 Wei, Hanyu 20 Chen, Dengyuan 16 Hu, Beibei 12 You, Fucai 12 Zhang, Sheng 11 Zhang, Hongqing 10 Kang, Zhouzheng 9 Ma, Wen-Xiu 9 Wang, Hui 9 Zhang, Ning 7 Liu, Zeyu 7 Yu, Fajun 6 Chen, Xiaohong 6 Guo, Handong 6 Li, Jian 6 Mustafa, Ghulam 6 Yue, Chao 5 Wu, Guocheng 4 Li, Ji 4 Li, Qian 3 Chaolu, Temuer 3 Fan, Engui 3 Li, Desheng 3 Liu, Tongshuai 3 Pan, Hongfei 3 Shamir, M. Farasat 3 Tao, Sixing 3 Wang, Jinbo 3 Zhang, Ling 2 Jin, QiuYan 2 Wang, Yiping 2 Xia, Dong 2 Xiong, Shouquan 2 Yan, Zhenya 2 Zhang, Jiao 2 Zhang, Yan 2 Zhang, Yufeng 2 Zhao, Rong 1 Abbas, Ghulam 1 Ashraf, Asifa 1 Cao, Lina 1 Cui, Zhongyuan 1 Dong, Xia 1 Eerdun, Buhe 1 Feng, Huarong 1 Ge, Jianya 1 Gu, Jialei 1 He, Guoliang 1 Hu, Ye 1 Hussain, Ibrar 1 Jiao, Zhang 1 Li, Biao 1 Li, Chunli 1 Li, Peichun 1 Li, Qiong 1 Liu, Guanming 1 Liu, Guijuan 1 Liu, Jianbo 1 Liu, Mingming 1 Liu, Yinlong 1 Lü, Zhuosheng 1 Luo, Lin 1 Ma, Changyou 1 Ma, Chunzhen 1 Ma, Xi 1 Mo, Si-Xing 1 Shahzad, Muhammad Rizwan 1 Shi, Hui 1 Shi, Zhenhua 1 Tong, Yanchun 1 Waheed, Saira 1 Wang, Lei 1 Wang, Sichuan 1 Wei, Jia-Li 1 Xu, Guoying 1 Yang, Yingmin 1 Zang, Gao-Lian 1 Zhang, Dengpeng 1 Zhang, Yi 1 Zhao, Wenying 1 Zhao, Zhonglong 1 Zheng, Xuedong 1 Zhoa, Wenying 1 Zhu, Zuonong all top 5 Serials 22 Chaos, Solitons and Fractals 13 Communications in Theoretical Physics 9 Applied Mathematics and Computation 7 Acta Mathematica Scientia. Series A. (Chinese Edition) 6 Mathematical Methods in the Applied Sciences 6 Chinese Quarterly Journal of Mathematics 6 Communication on Applied Mathematics and Computation 5 Journal of Mathematical Physics 5 Physics Letters. A 5 Applied Mathematics Letters 5 Journal of Shanghai University. Natural Science 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Chinese Journal of Engineering Mathematics 4 Journal of Shanghai University 4 Applied Mathematics E-Notes 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Bohai University. Natural Science Edition 3 Chinese Annals of Mathematics. Series A 3 Fractals 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 3 Advances in Mathematical Physics 2 Computers & Mathematics with Applications 2 Annals of Differential Equations 2 Journal of Dalian University of Technology 2 Advances in Difference Equations 2 Frontiers of Mathematics in China 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Journal of Mathematics. Wuhan University 1 Applied Mathematics and Mechanics. (English Edition) 1 Advances in Mathematics (Beijing) 1 Physica D 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematica Applicata 1 Annals of Physics 1 Applied Mathematics. Series A (Chinese Edition) 1 Mathematical Problems in Engineering 1 Far East Journal of Applied Mathematics 1 Journal of Gansu University of Technology 1 Discrete Dynamics in Nature and Society 1 Physica Scripta 1 Nonlinear Analysis. Real World Applications 1 Far East Journal of Dynamical Systems 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Control Science and Applications 1 Journal of Nonlinear Science and Applications 1 Communications in Mathematical Research 1 Analysis and Mathematical Physics 1 Journal of Mathematical Research with Applications 1 Journal of Applied Analysis and Computation 1 East Asian Journal on Applied Mathematics 1 Kuwait Journal of Science 1 Annals of Applied Mathematics all top 5 Fields 128 Partial differential equations (35-XX) 120 Dynamical systems and ergodic theory (37-XX) 16 Nonassociative rings and algebras (17-XX) 12 Computer science (68-XX) 9 Real functions (26-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Numerical analysis (65-XX) 6 Quantum theory (81-XX) 6 Relativity and gravitational theory (83-XX) 5 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 721 times in 492 Documents Cited by ▼ Year ▼ Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232 Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu 35 2018 A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008 Zhang, Sheng; Xia, Tiecheng 29 2007 A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318 Zhang, Sheng; Xia, Tiecheng 28 2006 A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320 Zhang, Sheng; Xia, Tie-Cheng 24 2007 A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193 Zhang, Ning; Xia, Tie-cheng; Fan, En-gui 23 2018 Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 21 2005 A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404 Zhang, Sheng; Xia, Tiecheng 20 2006 Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025 Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo 19 2018 New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation. Zbl 0996.35066 Xia, Tiecheng; Li, Biao; Zhang, Hongqing 18 2001 Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations. Zbl 1049.35171 Xia, Tie-cheng; Lü, Zhuo-sheng; Zhang, Hong-qing 16 2004 The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103 Xia, Tiecheng; Fan, Engui 15 2005 The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044 Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing 15 2006 Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143 Zhang, Sheng; Xia, Tiecheng 14 2006 A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496 Zhang, Sheng; Xia, Tie-cheng 13 2008 Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306 Ma, Wen-Xiu; Xia, Tiecheng 13 2013 \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086 Zhang, Ning; Xia, Tiecheng; Jin, QiuYan 13 2018 A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261 Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei 11 2017 A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274 Hu, Beibei; Xia, Tiecheng 11 2018 On the Riemann-Hilbert problem of the Kundu equation. Zbl 1474.35228 Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning 11 2020 The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047 You, Fucai; Xia, Tiecheng 10 2008 An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384 Zhang, Sheng; Xia, Tiecheng 10 2008 The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038 Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan 10 2005 High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics. Zbl 1434.35007 Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei 10 2020 Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation. Zbl 1440.35027 Kang, Zhou-Zheng; Xia, Tie-Cheng 10 2020 A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095 Zhang, Sheng; Xia, Tiecheng 9 2007 New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics. Zbl 0996.35068 Zheng, Xuedong; Xia, Tiecheng; Zhang, Hongqing 9 2002 Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385 Zhang, Sheng; Xia, Tiecheng 9 2006 Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066 Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei 9 2020 A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 8 2005 A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization. Zbl 1466.35277 Li, Jian; Xia, Tiecheng 8 2021 \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. Zbl 1458.35120 Li, Jian; Xia, Tiecheng 8 2021 Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136 You, Fucai; Xia, Tiecheng; Chen, Dengyuan 7 2008 A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154 Wu, Guo-Cheng; Xia, Tie-Cheng 7 2008 Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070 Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo 7 2018 A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250 Wu, Guo-Cheng; Xia, Tie-Cheng 7 2009 Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051 Xia, Tiecheng; Xiong, Shouquan 7 2010 A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082 Zhang, Ning; Xia, Tiecheng 7 2015 Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254 Zhang, Sheng; Xia, Tiecheng 6 2011 A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052 Xia, Tiecheng; You, Fucai 6 2006 Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011 Wang, Hui; Xia, Tie-Cheng 6 2012 Multi-component \(C\)-KdV hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1167.37351 Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan 6 2004 The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083 Wang, Hui; Xia, Tie-Cheng 6 2013 The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060 Wang, Hui; Xia, Tie-Cheng 6 2013 Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem. Zbl 1504.35208 Liu, Tongshuai; Xia, Tiecheng 6 2022 Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102 Zhang, Sheng; Xia, Tiecheng 5 2008 The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028 Xia, Tiecheng; You, Fucai 5 2005 A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052 Xia, Tiecheng; You, Fucai; Chen, Dengyuan 5 2006 Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052 Wang, Hui; Xia, Tiecheng 5 2014 Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043 Yue, Chao; Xia, Tiecheng 5 2014 Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057 Wang, Hui; Xia, Tiecheng 5 2014 A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. Zbl 1447.35239 Hu, Beibei; Xia, Tiecheng 5 2019 Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. Zbl 1458.35388 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 5 2021 The Riemann-Hilbert approach to initial-boundary value problems for integrable coherently coupled nonlinear Schrödinger systems on the half-line. Zbl 1466.35276 Hu, Beibei; Xia, Tiecheng; Ma, Wen-Xiu 5 2018 Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027 Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui 5 2011 Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382 Wang, Hui; Xia, Tiecheng 5 2013 Image encryption technology based on fractional two-dimensional discrete chaotic map accompanied with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1486.94126 Liu, Ze-Yu; Xia, Tiecheng; Wang, Yi-Ping 5 2021 Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385 You, Fucai; Xia, Tiecheng 4 2007 Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135 Tao, Sixing; Xia, Tiecheng 4 2011 New explicit and exact travelling wave solutions for a class of nonlinear evolution equations. Zbl 0982.35101 Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya 4 2001 Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151 You, Fucai; Xia, Tiecheng; Zhang, Jiao 4 2009 Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 4 2005 A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048 Xia, Tiecheng; You, Fucai; Chen, Dengyuan 4 2005 Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123 Wu, Guo-Cheng; Xia, Tie-Cheng 4 2009 Darboux transformation to the nonlocal complex short pulse equation. Zbl 1484.35013 Li, Jian; Xia, Tiecheng 4 2022 Exact solutions of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation with \((G^{\prime}/G)\)-expansion method. Zbl 1223.35270 Xiong, Shou-Quan; Xia, Tie-Cheng 3 2010 Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330 Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling 3 2018 A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems. Zbl 1060.37062 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 3 2004 Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations. Zbl 1062.35093 Xia, Tie-Cheng; Chen, Deng-Yuan 3 2004 A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034 Xia, Tiecheng; Jiao, Zhang; You, Fucai 3 2007 Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation. Zbl 1474.35581 Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng 3 2014 Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1459.35303 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 3 2019 Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204 Guo, Han-Dong; Xia, Tie-Cheng 3 2021 On the Riemann-Hilbert problem of a generalized derivative nonlinear Schrödinger equation. Zbl 1521.35130 Hu, Bei-Bei; Zhang, Ling; Xia, Tie-Cheng 3 2021 Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149 Wei, Han-yu; Xia, Tie-cheng 3 2013 Realistic solutions of fluid spheres in \(f(\mathcal{G},\mathcal{T})\) gravity under Karmarkar condition. Zbl 1432.83042 Mustafa, G.; Xia, Tie-Cheng; Shamir, M. Farasat 3 2020 Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193 Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng 3 2012 Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235 Wei, Hanyu; Xia, Tiecheng 3 2018 New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053 Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui 2 2011 A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125 Ge, Jian-Ya; Xia, Tie-Cheng 2 2010 A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072 Zhang, Ning; Xia, Tie-Cheng 2 2017 The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045 Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan 2 2005 A two-component generalization of Burgers’ equation with quasi-periodic solution. Zbl 1311.35010 Pan, Hongfei; Xia, Tiecheng; Chen, Dengyuan 2 2014 A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366 You, Fucai; Xia, Tiecheng 2 2008 A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071 Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong 2 2014 Image encryption based on two-dimensional fractional quadric polynomial map. Zbl 1491.39012 Liu, Ze-Yu; Xia, Tie-Cheng; Feng, Hua-Rong; Ma, Chang-You 2 2021 Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation. Zbl 07336605 Guo, Han-Dong; Xia, Tie-Cheng 2 2020 Long-time asymptotics for the nonlocal Kundu-nonlinear-Schrödinger equation by the nonlinear steepest descent method. Zbl 1516.37116 Li, Jian; Xia, Tiecheng; Guo, Handong 2 2022 Stable wormholes solutions in the background of Rastall theory. Zbl 1434.83105 Mustafa, G.; Shahzad, M. R.; Abbas, G.; Xia, T. 2 2020 The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062 Yue, Chao; Xia, Tiecheng 2 2013 A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws. Zbl 1406.35373 Wei, Hanyu; Xia, Tiecheng 2 2018 The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. Zbl 1428.35517 Hu, Beibei; Xia, Tiecheng; Zhang, Ning 2 2019 The multi-component NLS-mKdV hierarchy and its integrable couplings system. Zbl 1129.35448 Zhoa, Wenying; Xia, Tiecheng 1 2006 Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076 Wang, Hui; Xia, Tie-cheng 1 2011 Handling the fractional Boussinesq-like equation by the fractional variational iteration method. Zbl 1265.35283 Gu, Jialei; Xia, Tiecheng 1 2011 A new approach to construct exact solutions of nonlinear evolution equations. Zbl 0982.35100 Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya 1 2001 The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056 Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan 1 2005 New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations. Zbl 1070.35078 Xia, Tiecheng; Chen, Dengyuan 1 2005 Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Zbl 1291.37098 Tao, Sixing; Xia, Tiecheng 1 2013 Integrable couplings of the coupled Burgers hierarchy. Zbl 1167.37350 Xia, Tie-Cheng; Chen, Xiao-Hong; Chen, Deng-Yuan; Zhang, Yu-Feng 1 2004 \(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117 Li, Qian; Xia, Tiecheng; Chen, Dengyuan 1 2017 Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem. Zbl 1504.35208 Liu, Tongshuai; Xia, Tiecheng 6 2022 Darboux transformation to the nonlocal complex short pulse equation. Zbl 1484.35013 Li, Jian; Xia, Tiecheng 4 2022 Long-time asymptotics for the nonlocal Kundu-nonlinear-Schrödinger equation by the nonlinear steepest descent method. Zbl 1516.37116 Li, Jian; Xia, Tiecheng; Guo, Handong 2 2022 A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization. Zbl 1466.35277 Li, Jian; Xia, Tiecheng 8 2021 \(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. Zbl 1458.35120 Li, Jian; Xia, Tiecheng 8 2021 Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. Zbl 1458.35388 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 5 2021 Image encryption technology based on fractional two-dimensional discrete chaotic map accompanied with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1486.94126 Liu, Ze-Yu; Xia, Tiecheng; Wang, Yi-Ping 5 2021 Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204 Guo, Han-Dong; Xia, Tie-Cheng 3 2021 On the Riemann-Hilbert problem of a generalized derivative nonlinear Schrödinger equation. Zbl 1521.35130 Hu, Bei-Bei; Zhang, Ling; Xia, Tie-Cheng 3 2021 Image encryption based on two-dimensional fractional quadric polynomial map. Zbl 1491.39012 Liu, Ze-Yu; Xia, Tie-Cheng; Feng, Hua-Rong; Ma, Chang-You 2 2021 Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy. Zbl 1483.37087 Yue, Chao; Xia, Tiecheng 1 2021 The \(N\)-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach. Zbl 1465.35347 Li, Jian; Xia, Tiecheng; Wei, Hanyu 1 2021 On the Riemann-Hilbert problem of the Kundu equation. Zbl 1474.35228 Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning 11 2020 High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics. Zbl 1434.35007 Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei 10 2020 Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation. Zbl 1440.35027 Kang, Zhou-Zheng; Xia, Tie-Cheng 10 2020 Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066 Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei 9 2020 Realistic solutions of fluid spheres in \(f(\mathcal{G},\mathcal{T})\) gravity under Karmarkar condition. Zbl 1432.83042 Mustafa, G.; Xia, Tie-Cheng; Shamir, M. Farasat 3 2020 Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation. Zbl 07336605 Guo, Han-Dong; Xia, Tie-Cheng 2 2020 Stable wormholes solutions in the background of Rastall theory. Zbl 1434.83105 Mustafa, G.; Shahzad, M. R.; Abbas, G.; Xia, T. 2 2020 A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. Zbl 1447.35239 Hu, Beibei; Xia, Tiecheng 5 2019 Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1459.35303 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 3 2019 The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. Zbl 1428.35517 Hu, Beibei; Xia, Tiecheng; Zhang, Ning 2 2019 Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 1463.35150 Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu 1 2019 Constructing super D-Kaup-Newell hierarchy and its nonlinear integrable coupling with self-consistent sources. Zbl 1441.37075 Wei, Hanyu; Xia, Tiecheng 1 2019 Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232 Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu 35 2018 A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193 Zhang, Ning; Xia, Tie-cheng; Fan, En-gui 23 2018 Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025 Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo 19 2018 \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086 Zhang, Ning; Xia, Tiecheng; Jin, QiuYan 13 2018 A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274 Hu, Beibei; Xia, Tiecheng 11 2018 Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070 Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo 7 2018 The Riemann-Hilbert approach to initial-boundary value problems for integrable coherently coupled nonlinear Schrödinger systems on the half-line. Zbl 1466.35276 Hu, Beibei; Xia, Tiecheng; Ma, Wen-Xiu 5 2018 Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330 Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling 3 2018 Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235 Wei, Hanyu; Xia, Tiecheng 3 2018 A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws. Zbl 1406.35373 Wei, Hanyu; Xia, Tiecheng 2 2018 A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261 Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei 11 2017 A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072 Zhang, Ning; Xia, Tie-Cheng 2 2017 \(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117 Li, Qian; Xia, Tiecheng; Chen, Dengyuan 1 2017 A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws. Zbl 1400.37082 Wei, Hanyu; Xia, Tiecheng; He, Guoliang 1 2016 A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082 Zhang, Ning; Xia, Tiecheng 7 2015 Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052 Wang, Hui; Xia, Tiecheng 5 2014 Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043 Yue, Chao; Xia, Tiecheng 5 2014 Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057 Wang, Hui; Xia, Tiecheng 5 2014 Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation. Zbl 1474.35581 Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng 3 2014 A two-component generalization of Burgers’ equation with quasi-periodic solution. Zbl 1311.35010 Pan, Hongfei; Xia, Tiecheng; Chen, Dengyuan 2 2014 A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071 Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong 2 2014 Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306 Ma, Wen-Xiu; Xia, Tiecheng 13 2013 The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083 Wang, Hui; Xia, Tie-Cheng 6 2013 The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060 Wang, Hui; Xia, Tie-Cheng 6 2013 Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382 Wang, Hui; Xia, Tiecheng 5 2013 Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149 Wei, Han-yu; Xia, Tie-cheng 3 2013 The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062 Yue, Chao; Xia, Tiecheng 2 2013 Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Zbl 1291.37098 Tao, Sixing; Xia, Tiecheng 1 2013 Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011 Wang, Hui; Xia, Tie-Cheng 6 2012 Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193 Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng 3 2012 New integrable couplings of the Tu hierarchy with self-consistent sources. Zbl 1274.35314 Xia, Tiecheng; Zhang, Dengpeng; Temuer, Chaolu 1 2012 The conservation laws and self-consistent sources for a super-Yang hierarchy. Zbl 1268.37084 Xia, Tiecheng; Chaolu, Temuer 1 2012 Binary nonlinearization of super Broer-Kaup-Kupershmidt hierarchy. Zbl 1265.35290 Tao, Sixing; Xia, Tiecheng 1 2012 Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254 Zhang, Sheng; Xia, Tiecheng 6 2011 Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027 Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui 5 2011 Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135 Tao, Sixing; Xia, Tiecheng 4 2011 New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053 Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui 2 2011 Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076 Wang, Hui; Xia, Tie-cheng 1 2011 Handling the fractional Boussinesq-like equation by the fractional variational iteration method. Zbl 1265.35283 Gu, Jialei; Xia, Tiecheng 1 2011 Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051 Xia, Tiecheng; Xiong, Shouquan 7 2010 Exact solutions of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation with \((G^{\prime}/G)\)-expansion method. Zbl 1223.35270 Xiong, Shou-Quan; Xia, Tie-Cheng 3 2010 A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125 Ge, Jian-Ya; Xia, Tie-Cheng 2 2010 A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250 Wu, Guo-Cheng; Xia, Tie-Cheng 7 2009 Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151 You, Fucai; Xia, Tiecheng; Zhang, Jiao 4 2009 Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123 Wu, Guo-Cheng; Xia, Tie-Cheng 4 2009 A new Lie algebra and corresponding evolution equations hierarchy. Zbl 1197.37083 Xia, Tiecheng; Ma, Chunzhen 1 2009 A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496 Zhang, Sheng; Xia, Tie-cheng 13 2008 The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047 You, Fucai; Xia, Tiecheng 10 2008 An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384 Zhang, Sheng; Xia, Tiecheng 10 2008 Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136 You, Fucai; Xia, Tiecheng; Chen, Dengyuan 7 2008 A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154 Wu, Guo-Cheng; Xia, Tie-Cheng 7 2008 Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102 Zhang, Sheng; Xia, Tiecheng 5 2008 A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366 You, Fucai; Xia, Tiecheng 2 2008 The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures. Zbl 1157.37333 You, Fucai; Xia, Tiecheng 1 2008 A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008 Zhang, Sheng; Xia, Tiecheng 29 2007 A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320 Zhang, Sheng; Xia, Tie-Cheng 24 2007 A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095 Zhang, Sheng; Xia, Tiecheng 9 2007 Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385 You, Fucai; Xia, Tiecheng 4 2007 A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034 Xia, Tiecheng; Jiao, Zhang; You, Fucai 3 2007 A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318 Zhang, Sheng; Xia, Tiecheng 28 2006 A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404 Zhang, Sheng; Xia, Tiecheng 20 2006 The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044 Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing 15 2006 Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143 Zhang, Sheng; Xia, Tiecheng 14 2006 Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385 Zhang, Sheng; Xia, Tiecheng 9 2006 A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052 Xia, Tiecheng; You, Fucai 6 2006 A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052 Xia, Tiecheng; You, Fucai; Chen, Dengyuan 5 2006 The multi-component NLS-mKdV hierarchy and its integrable couplings system. Zbl 1129.35448 Zhoa, Wenying; Xia, Tiecheng 1 2006 Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 21 2005 The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103 Xia, Tiecheng; Fan, Engui 15 2005 The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038 Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan 10 2005 A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 8 2005 The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028 Xia, Tiecheng; You, Fucai 5 2005 Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332 Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan 4 2005 A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048 Xia, Tiecheng; You, Fucai; Chen, Dengyuan 4 2005 The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045 Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan 2 2005 The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056 Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan 1 2005 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 687 Authors 47 Xia, Tie-Cheng 31 Ma, Wen-Xiu 26 Zhang, Sheng 23 Dong, Huanhe 18 Yu, Fajun 16 Hu, Beibei 12 Zayed, Elsayed M. E. 12 Zhang, Yi 11 Zhang, Ling 10 Zhang, Ning 9 Fan, Engui 8 Gepreel, Khaled A. 8 Wazwaz, Abdul-Majid Abdul-Rahman 8 Zhang, Yong 7 Chen, Yong 7 Seadawy, Aly R. 7 Wei, Hanyu 7 Xu, Bo 7 Zhang, Hongqing 6 Biswas, Anjan 6 Geng, Xianguo 6 Li, Li 6 Liu, Wenjun J. 6 Shen, Shoufeng 6 You, Fucai 6 Zhang, Yufeng 6 Zhou, Qin 5 Ali Akbar, M. 5 Bekir, Ahmet 5 Gao, Yitian 5 Khalique, Chaudry Masood 5 Kumar, Mukesh 5 Li, Chuanzhong 5 Li, Jian 5 Li, Xinyue 5 Lü, Xing 5 Tian, Shoufu 5 Yang, Hongwei 5 Ye, Rusuo 5 Zhao, Qiulan 5 Zhaqilao, Z. 4 Abazari, Reza 4 Alurrfi, Khaled A. E. 4 Chaolu, Temuer 4 Dai, Zhengde 4 He, Baiying 4 Ji, Jie 4 Kang, Zhouzheng 4 Li, Chunxia 4 Lin, Ji 4 Liu, Zeyu 4 Luo, Lin 4 Mirzazadeh, Mohammad 4 Wang, Xiangrong 4 Wang, Yunhu 4 Yin, Baoshu 4 Zhang, Xiaoen 3 Abdelaziz, Mahmoud A. M. 3 Abdeljabbar, Alrazi 3 Ali, Safdar 3 Băleanu, Dumitru I. 3 Baskonus, Haci Mehmet 3 Chen, Liangyun 3 Cheng, Li 3 Deng, Aiping 3 Gao, Liang 3 Guo, Handong 3 Hong, Siyu 3 Iqbal, Mujahid 3 Jin, Yongyang 3 Kumar, Raj 3 Li, Donglong 3 Liu, Jianguo 3 Liu, Tongshuai 3 Liu, Zhengrong 3 Ma, Hongcai 3 Manafian Heris, Jalil 3 Nofal, Taher A. 3 Peng, Weiqi 3 Sun, Zhiyuan 3 Taghizadeh, Nasir 3 Tang, Yaning 3 Triki, Houria 3 Wang, Dengshan 3 Wang, Haifeng 3 Wang, Hui 3 Wang, Lei 3 Wen, Xiaoyong 3 Xin, Xiangpeng 3 Yu, Shuimeng 3 Zhang, Tiantian 3 Zhao, Haiqiong 3 Zhi, Hongyan 2 Ai, Guo-Ping 2 Ali, Ahmad Tawfik 2 Ali, Norhashidah Hj. Mohd. 2 Aslan, İsmail 2 Balusamy, Balamurugan 2 Bian, Chunquan 2 Chang, Hui ...and 587 more Authors all top 5 Cited in 101 Serials 57 Applied Mathematics and Computation 37 Nonlinear Dynamics 31 Communications in Nonlinear Science and Numerical Simulation 21 Chaos, Solitons and Fractals 21 Applied Mathematics Letters 19 Computers & Mathematics with Applications 17 Abstract and Applied Analysis 15 Mathematical Methods in the Applied Sciences 14 Journal of Mathematical Physics 14 Advances in Mathematical Physics 11 Mathematical Problems in Engineering 10 Communications in Theoretical Physics 9 Journal of Geometry and Physics 9 International Journal of Nonlinear Sciences and Numerical Simulation 9 Analysis and Mathematical Physics 8 Wave Motion 8 Advances in Difference Equations 7 International Journal of Modern Physics B 7 International Journal of Computer Mathematics 7 Journal of Applied Mathematics 7 AIMS Mathematics 6 International Journal of Applied and Computational Mathematics 5 Theoretical and Mathematical Physics 5 Complexity 5 Discrete Dynamics in Nature and Society 5 International Journal of Geometric Methods in Modern Physics 4 Modern Physics Letters B 4 Physics Letters. 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B 1 Rocky Mountain Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Information Sciences 1 Journal of Differential Equations 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Mathematical Chemistry 1 European Journal of Control 1 Journal of Applied Mechanics and Technical Physics 1 Qualitative Theory of Dynamical Systems 1 International Journal of Modern Physics C 1 Nonlinear Functional Analysis and Applications 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Complex Variables and Elliptic Equations 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical 1 Chinese Journal of Physics (Taipei) 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Nonlinear Science 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 GEM - International Journal on Geomathematics 1 Arabian Journal for Science and Engineering 1 Arabian Journal of Mathematics 1 Caspian Journal of Mathematical Sciences 1 East Asian Journal on Applied Mathematics ...and 1 more Serials all top 5 Cited in 36 Fields 397 Partial differential equations (35-XX) 227 Dynamical systems and ergodic theory (37-XX) 27 Numerical analysis (65-XX) 26 Nonassociative rings and algebras (17-XX) 25 Computer science (68-XX) 25 Fluid mechanics (76-XX) 19 Ordinary differential equations (34-XX) 18 Quantum theory (81-XX) 17 Optics, electromagnetic theory (78-XX) 13 Difference and functional equations (39-XX) 10 Special functions (33-XX) 9 Real functions (26-XX) 9 Mechanics of deformable solids (74-XX) 9 Relativity and gravitational theory (83-XX) 8 Integral equations (45-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Topological groups, Lie groups (22-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 4 Systems theory; control (93-XX) 3 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year