Edit Profile (opens in new tab) Lu, Dianchen Compute Distance To: Compute Author ID: lu.dianchen Published as: Lu, Dianchen; Lu, Dian-chen; Lu, Dian Chen; Lu, Dian-Chen; Lu, D. more...less External Links: ORCID · dblp Documents Indexed: 138 Publications since 1991 1 Contribution as Editor Co-Authors: 100 Co-Authors with 133 Joint Publications 3,435 Co-Co-Authors all top 5 Co-Authors 0 single-authored 28 Tian, Lixin 27 Hong, Baojian 23 Seadawy, Aly R. 16 Khater, Mostafa M. A. 14 Attia, Raghda A. M. 8 Cheng, Yueling 6 Iqbal, Mujahid 5 Yaro, David 4 Ali, Asghar 4 Fu, Lianlian 4 Inc, Mustafa 4 Yue, Chen 3 Abdel-Aty, Abdel-Haleem 3 Ahmed, Iftikhar 3 Cao, Haixia 3 Gu, Jianjun 3 Nasreen, Naila 3 Peng, Dejun 3 Ramzan, Muhammad Babar 3 Song, Juan 3 Suleman, Muhammad Tahir 3 Wang, Jun 3 Yang, Libo 3 Zhou, Jiangbo 2 Akuamoah, Saviour Worlanyo 2 Alfalqi, S. H. 2 Alzaidi, J. F. 2 Apeanti, Wilson Osafo 2 Băleanu, Dumitru I. 2 Chu, Yuming 2 Hao, Yongxia 2 Jia, Qiang 2 Liu, Cuilian 2 Tian, Xiandong 2 Ul Rahman, Jamshaid 2 Wang, Qingyan 2 Yan, Minjuan 2 Yang, Guangjuan 2 Zhang, Dahang 2 Zhang, Zhihui 2 Zheng, Rui 2 Zheng, Xizhong 1 Ali, Ahmad Tawfik 1 Alodhaibi, Sultan S. 1 Bao, Kejin 1 Bekir, Ahmet 1 Bilal, Muhammad 1 Chang, Yali 1 Chen, Caixia 1 Chen, Chenxia 1 Chen, Tingting 1 Farooq, Umer 1 Georgescu, Paul 1 Howari, Fares 1 Huang, Bin 1 Huang, Zengyong 1 Jiang, Donghai 1 Khalique, Chaudry Masood 1 Khan, Farman Ullah 1 Khan, M. Ijaz 1 Kondo, Shunsuke 1 Li, Yuanlin 1 Liu, Zengrong 1 Ma, Liqiong 1 Mohammad, Mutaz 1 Osman, Mohamed Sayed Ali 1 Park, Choonkil 1 Rahman, C. 1 Razzaq, Raheela 1 Riaz, Naureen 1 Shao, Yu Shen 1 Shen, Furong 1 Shi, Qian 1 Sun, Yuanyuan 1 Takizawa, Akihiko 1 Tang, Guosheng 1 van Gorder, Robert Ashton 1 Wahid, Khan A. 1 Wang, Aicheng 1 Wang, Junxa 1 Wang, Junxia 1 Wang, Linjun 1 Wei, Jingdong 1 Wu, Li 1 Wu, Reijie 1 Wu, Yuhai 1 Xia, Xianwei 1 Xu, Junxiang 1 Xu, Yuanyuan 1 Yao, Olivia Xiang Mei 1 Zhang, Chengyi 1 Zhang, Fubao 1 Zhang, Hong 1 Zhang, Hongliang 1 Zhang, Wenbin 1 Zhang, Yi 1 Zhang, Zhengdi 1 Zhao, Kangsheng 1 Zhao, Zhifeng 1 Zhou, Jianjun ...and 4 more Co-Authors all top 5 Serials 22 International Journal of Nonlinear Science 18 Journal of Jiangsu University. Natural Science Edition 11 International Journal of Modern Physics B 8 Advances in Difference Equations 6 Modern Physics Letters A 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 3 Physica A 3 Mathematica Applicata 3 Journal of Anhui University. Natural Science Edition 3 Communications in Theoretical Physics 3 Advances in Mathematical Physics 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematics in Practice and Theory 2 Applied Mathematics. Series B (English Edition) 2 Fractals 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Guangxi Normal University. Natural Science Edition 2 Chinese Journal of Engineering Mathematics 2 International Journal of Applied and Computational Mathematics 1 Journal of Mathematical Physics 1 Colloquium Mathematicum 1 IEEE Transactions on Communications 1 Theoretical Computer Science 1 Journal of Nanjing University. Natural Sciences 1 Journal of Nanjing University. Mathematical Biquarterly 1 Acta Physica Sinica 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Automation and Remote Control 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Complexity 1 Multibody System Dynamics 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Journal of Lanzhou University of Technology 1 Journal of Inner Mongolia Normal University. Natural Science Edition 1 Journal of Jiangsu University of Science and Technology. Natural Science Edition 1 Journal of Xinyang Normal University. Natural Science Edition 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Journal of Mathematics 1 East Asian Journal on Applied Mathematics all top 5 Fields 99 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Numerical analysis (65-XX) 14 Systems theory; control (93-XX) 10 Fluid mechanics (76-XX) 9 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Mathematical logic and foundations (03-XX) 7 Real functions (26-XX) 7 Computer science (68-XX) 6 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 213 times in 174 Documents Cited by ▼ Year ▼ Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods. Zbl 1398.82042Iqbal, Mujahid; seadawy, Aly R.; Lu, Dianchen 17 2018 New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system. Zbl 1138.76023Lu, Dianchen; Hong, Baojian 16 2008 New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations. Zbl 1221.35352Lu, Dianchen; Hong, Baojian; Tian, Lixin 11 2009 Mixed lump-solitons, periodic lump and breather soliton solutions for \((2 + 1)\)-dimensional extended Kadomtsev-Petviashvili dynamical equation. Zbl 1423.35330Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 10 2019 New solitary wave solutions of some nonlinear models and their applications. Zbl 1446.35160Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen 10 2018 On the well-posedness problem for the generalized Dullin-Gottwald-Holm equation. Zbl 1394.35426Lu, Dianchen; Peng, Dejun; Tian, Lixin 9 2006 New exact solutions for the generalized variable-coefficient Gardner equation with forcing term. Zbl 1308.35243Hong, Baojian; Lu, Dianchen 7 2012 New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system. Zbl 1129.35445Lu, Dianchen; Hong, Baojian; Tian, Lixin 7 2007 Wavelet basis analysis in perturbed periodic KdV equation. Zbl 0936.35170Lu, Dianchen; Tian, Lixin; Liu, Zengrong 7 1998 New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients. Zbl 1255.35193Hong, Baojian; Lu, Dianchen 6 2012 Bäcklund transformation and \(N\)-soliton-like solutions to the combined KdV-Burgers equation with variable coefficients. Zbl 1394.35113Lu, Dianchen; Hong, Baojian; Tian, Lixin 6 2006 A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order. Zbl 1203.35236Lu, Dianchen; Liu, CuiLian 5 2010 Explicit and exact solutions to a variable coefficient combined KdV equation with forced term. Zbl 1202.35239Lu, Dian Chen; Hong, Bao Jian; Tian, Li Xin 5 2006 Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. Zbl 1452.35189Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa 5 2019 He-Elzaki method for spatial diffusion of biological population. Zbl 1434.35277Ul Rahman, Jamshaid; Lu, Dianchen; Suleman, Muhammad; He, Ji-Huan; Ramzan, Muhammad 5 2019 Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev-Petviashvili modified equal width dynamical equation. Zbl 1443.35141Seadawy, Aly R.; Iqbal, Mujahid; Lu, Dianchen 5 2019 Construction of bright-dark solitons and ion-acoustic solitary wave solutions of dynamical system of nonlinear wave propagation. Zbl 1427.35279Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen; Xia, Xianwei 4 2019 Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system. Zbl 1446.35165Lu, Dianchen; Seadawy, Aly R.; Khater, Mostafa M. A. 4 2018 \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations. Zbl 07257663Arshad, Muhammad; Lu, Dianchen; Wang, Jun 4 2017 The property of nonwandering operator. Zbl 0848.47015Tian, Lixin; Lu, Dianchen 3 1996 Divergence bounded computable real numbers. Zbl 1094.03050Zheng, Xizhong; Lu, Dianchen; Bao, Kejin 3 2006 Global synchronization for time-delay of WINDMI system. Zbl 1175.34096Wang, Junxa; Lu, Dianchen; Tian, Lixin 3 2006 Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Zbl 1471.92238Attia, Raghda A. M.; Baleanu, Dumitru; Lu, Dianchen; Khater, Mostafa M. A.; Ahmed, El-Sayed 3 2021 Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system. Zbl 07505790Ali, Ahmad T.; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Lu, Dianchen 3 2020 Rogue waves generation and interaction of multipeak rational solitons in the system of equations for the ion sound and Langmuir waves. Zbl 1428.35338Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 3 2019 Analysis and optimal control of fractional-order transmission of a respiratory epidemic model. Zbl 1426.92088Yaro, David; Apeanti, Wilson Osafo; Akuamoah, Saviour Worlanyo; Lu, Dianchen 3 2019 New exact Jacobi elliptic function solutions for the coupled Schrödinger-Boussinesq equations. Zbl 1397.35273Hong, Baojian; Lu, Dianchen 3 2013 Novel soliton waves of two fluid nonlinear evolutions models in the view of computational scheme. Zbl 1439.35399Khater, Mostafa M. A.; Attia, Raghda A. M.; Alodhaibi, Sultan S.; Lu, Dianchen 3 2020 Exact solutions of the variable coefficient Burgers-Fisher equation with forced term. Zbl 1198.35246Zhang, Hongliang; Lu, Dianchen 2 2010 New Jacobi elliptic functions solutions for the combined KdV-MKdV equation. Zbl 1235.35248Lu, Dianchen; Shi, Qian 2 2010 Analytical and semi-analytical solutions for time-fractional Cahn-Allen equation. Zbl 1470.35114Khater, Mostafa M. A.; Bekir, Ahmet; Lu, Dianchen; Attia, Raghda A. M. 2 2021 Boundary control of the Kuramoto-Sivashinsky equation with an external excitation. Zbl 1394.35402Cao, Haixia; Lu, Dianchen; Tian, Lixin; Cheng, Yueling 2 2006 On explicit wave solutions of the fractional nonlinear DSW system via the modified Khater method. Zbl 1482.76026Yue, Chen; Lu, Dianchen; Khater, Mostafa M. A.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Attia, Raghda A. M. 2 2020 Traveling wave solutions of space-time fractional generalized fifth-order KdV equation. Zbl 1400.35061Lu, Dianchen; Yue, Chen; Arshad, Muhammad 2 2017 Dispersive solitary wave solutions of nonlinear further modified Korteweg-de Vries dynamical equation in an unmagnetized dusty plasma. Zbl 1404.35390Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen 2 2018 Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation. Zbl 1472.35337Lu, Dianchen; Liu, Jie 2 2014 Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001Meyer, T.; Li, P.; Lu, D.; Schweizer, B. 2 2018 Control and synchronization of a new hyperchaotic system with unknown parameters. Zbl 1285.93049Lu, Dianchen; Wang, Aicheng; Tian, Xiandong 1 2008 Optimal harvesting problems for an age-dependent \(n\)-dimensional food chain model with diffusion. Zbl 1109.92057Lu, Dianchen; Gu, Jianjun; Wang, Xiaoming 1 2007 New soliton-like solutions and localized coherent structures to the \( (2+1)\)-dimensional dispersive long wave equations with variable coefficients. Zbl 1150.35527Lu, Dianchen; Yang, Guangjuan 1 2007 New solutions of Jacobian elliptic and periodical function to \( (n+1)\)-dimensional Sinh-Gordon equation. Zbl 1150.35556Lu, Dianchen; Hong, Baojian; Tian, Lixin; Zhang, Dahang 1 2007 Approximate solutions of general perturbed KdV-Burgers equations. Zbl 1304.35611Hong, Baojian; Lu, Dianchen 1 2014 New exact solutions for mKdV-ZK equation. Zbl 1192.35159Yang, Libo; Lu, Dianchen; Hong, Baojian; Huang, Zengyong 1 2009 Computable analysis of a boundary-value problem for the generalized KdV-Burgers equation. Zbl 1325.35196Lu, Dianchen; Chen, Chenxia 1 2015 New exact solutions for \((2+1)\)-dimensional Kadomtsev-Petviashvili equation. Zbl 1236.35159Yang, Libo; Lu, Dianchen 1 2011 Exact traveling wave solutions of a fractional Sawada-Kotera equation. Zbl 1462.35120Arshad, Muhammad; Lu, Dianchen; Wang, Jun; Abdullah 1 2018 On the analytical and numerical solutions in the quantum magnetoplasmas: the Atangana conformable derivative \((1+3)\)-ZK equation with power-law nonlinearity. Zbl 1478.35177Khater, Mostafa M. A.; Chu, Yu-Ming; Attia, Raghda A. M.; Inc, Mustafa; Lu, Dianchen 1 2020 Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms. Zbl 07501411Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Lu, Dianchen 1 2020 Dispersive solitary wave solutions of strain wave dynamical model and its stability. Zbl 1455.35044Arshad, Muhammad; Seadawy, Aly R.; Lu, Dian-Chen; Ali, Asghar 1 2019 Exact solutions for fractional nonlinear evolution equations by the \(F\)-expansion method. Zbl 1394.35557Lu, Dianchen; Zhang, Zhihui 1 2017 Compacton solutions and peakon solutions for a coupled nonlinear wave equation. Zbl 1394.35114Lu, Dianchen; Yang, Guangjuan 1 2007 Multiple positive solutions for semilinear Schrödinger equations with critical growth in \(\mathbb{R}^{N}\). Zbl 1318.35111Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao 1 2015 Impact of social influence in English proficiency and performance in English examinations of mathematics students from a Sino-US undergraduate education program. Zbl 1452.62977Zhang, Hong; Osafo Apeanti, Wilson; Ma, Liqiong; Lu, Dianchen; Zheng, Xizhong; Georgescu, Paul 1 2020 Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques. Zbl 1434.35168Nasreen, Naila; Seadawy, Aly R.; Lu, Dianchen 1 2020 Corrigendum to: “Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X = Mo, Cu)) based on ternary alloys”. Zbl 07482519Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, R. A. M.; Baleanu, D. 1 2021 MHD boundary layer flow of carreau fluid over a convectively heated bidirectional sheet with non-Fourier heat flux and variable thermal conductivity. Zbl 1425.76304Lu, Dianchen; Mohammad, Mutaz; Ramzan, Muhammad; Bilal, Muhammad; Howari, Fares; Suleman, Muhammad 1 2019 Applications of modified mathematical method on some nonlinear water wave dynamical models. Zbl 1402.76030Seadawy, Aly R.; Ali, Asghar; Lu, Dianchen 1 2018 Abundant analytical solutions of the fractional nonlinear \((2+1)\)-dimensional BLMP equation arising in incompressible fluid. Zbl 1439.35412Yue, Chen; Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen 1 2020 Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform. Zbl 1451.65167Attia, Raghda A. M.; Alfalqi, S. H.; Alzaidi, J. F.; Khater, Mostafa M. A.; Lu, Dianchen 1 2020 Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. Zbl 1448.35430Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen 1 2018 Combined multi-waves rational solutions for complex Ginzburg-Landau equation with Kerr law of nonlinearity. Zbl 1407.35191Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 1 2019 Wave propagation in a infectious disease model with non-local diffusion. Zbl 1459.92118Cheng, Yueling; Lu, Dianchen 1 2019 Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Zbl 1471.92238Attia, Raghda A. M.; Baleanu, Dumitru; Lu, Dianchen; Khater, Mostafa M. A.; Ahmed, El-Sayed 3 2021 Analytical and semi-analytical solutions for time-fractional Cahn-Allen equation. Zbl 1470.35114Khater, Mostafa M. A.; Bekir, Ahmet; Lu, Dianchen; Attia, Raghda A. M. 2 2021 Corrigendum to: “Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X = Mo, Cu)) based on ternary alloys”. Zbl 07482519Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, R. A. M.; Baleanu, D. 1 2021 Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system. Zbl 07505790Ali, Ahmad T.; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Lu, Dianchen 3 2020 Novel soliton waves of two fluid nonlinear evolutions models in the view of computational scheme. Zbl 1439.35399Khater, Mostafa M. A.; Attia, Raghda A. M.; Alodhaibi, Sultan S.; Lu, Dianchen 3 2020 On explicit wave solutions of the fractional nonlinear DSW system via the modified Khater method. Zbl 1482.76026Yue, Chen; Lu, Dianchen; Khater, Mostafa M. A.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Attia, Raghda A. M. 2 2020 On the analytical and numerical solutions in the quantum magnetoplasmas: the Atangana conformable derivative \((1+3)\)-ZK equation with power-law nonlinearity. Zbl 1478.35177Khater, Mostafa M. A.; Chu, Yu-Ming; Attia, Raghda A. M.; Inc, Mustafa; Lu, Dianchen 1 2020 Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms. Zbl 07501411Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Lu, Dianchen 1 2020 Impact of social influence in English proficiency and performance in English examinations of mathematics students from a Sino-US undergraduate education program. Zbl 1452.62977Zhang, Hong; Osafo Apeanti, Wilson; Ma, Liqiong; Lu, Dianchen; Zheng, Xizhong; Georgescu, Paul 1 2020 Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques. Zbl 1434.35168Nasreen, Naila; Seadawy, Aly R.; Lu, Dianchen 1 2020 Abundant analytical solutions of the fractional nonlinear \((2+1)\)-dimensional BLMP equation arising in incompressible fluid. Zbl 1439.35412Yue, Chen; Khater, Mostafa M. A.; Inc, Mustafa; Attia, Raghda A. M.; Lu, Dianchen 1 2020 Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform. Zbl 1451.65167Attia, Raghda A. M.; Alfalqi, S. H.; Alzaidi, J. F.; Khater, Mostafa M. A.; Lu, Dianchen 1 2020 Mixed lump-solitons, periodic lump and breather soliton solutions for \((2 + 1)\)-dimensional extended Kadomtsev-Petviashvili dynamical equation. Zbl 1423.35330Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 10 2019 Analytical and approximate solutions for complex nonlinear Schrödinger equation via generalized auxiliary equation and numerical schemes. Zbl 1452.35189Khater, Mostafa M. A.; Lu, Dian-Chen; Attia, Raghda A. M.; Inç, Mustafa 5 2019 He-Elzaki method for spatial diffusion of biological population. Zbl 1434.35277Ul Rahman, Jamshaid; Lu, Dianchen; Suleman, Muhammad; He, Ji-Huan; Ramzan, Muhammad 5 2019 Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev-Petviashvili modified equal width dynamical equation. Zbl 1443.35141Seadawy, Aly R.; Iqbal, Mujahid; Lu, Dianchen 5 2019 Construction of bright-dark solitons and ion-acoustic solitary wave solutions of dynamical system of nonlinear wave propagation. Zbl 1427.35279Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen; Xia, Xianwei 4 2019 Rogue waves generation and interaction of multipeak rational solitons in the system of equations for the ion sound and Langmuir waves. Zbl 1428.35338Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 3 2019 Analysis and optimal control of fractional-order transmission of a respiratory epidemic model. Zbl 1426.92088Yaro, David; Apeanti, Wilson Osafo; Akuamoah, Saviour Worlanyo; Lu, Dianchen 3 2019 Dispersive solitary wave solutions of strain wave dynamical model and its stability. Zbl 1455.35044Arshad, Muhammad; Seadawy, Aly R.; Lu, Dian-Chen; Ali, Asghar 1 2019 MHD boundary layer flow of carreau fluid over a convectively heated bidirectional sheet with non-Fourier heat flux and variable thermal conductivity. Zbl 1425.76304Lu, Dianchen; Mohammad, Mutaz; Ramzan, Muhammad; Bilal, Muhammad; Howari, Fares; Suleman, Muhammad 1 2019 Combined multi-waves rational solutions for complex Ginzburg-Landau equation with Kerr law of nonlinearity. Zbl 1407.35191Ahmed, Iftikhar; Seadawy, Aly R.; Lu, Dianchen 1 2019 Wave propagation in a infectious disease model with non-local diffusion. Zbl 1459.92118Cheng, Yueling; Lu, Dianchen 1 2019 Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods. Zbl 1398.82042Iqbal, Mujahid; seadawy, Aly R.; Lu, Dianchen 17 2018 New solitary wave solutions of some nonlinear models and their applications. Zbl 1446.35160Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen 10 2018 Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system. Zbl 1446.35165Lu, Dianchen; Seadawy, Aly R.; Khater, Mostafa M. A. 4 2018 Dispersive solitary wave solutions of nonlinear further modified Korteweg-de Vries dynamical equation in an unmagnetized dusty plasma. Zbl 1404.35390Iqbal, Mujahid; Seadawy, Aly R.; Lu, Dianchen 2 2018 Implicit co-simulation method for constraint coupling with improved stability behavior. Zbl 1407.70001Meyer, T.; Li, P.; Lu, D.; Schweizer, B. 2 2018 Exact traveling wave solutions of a fractional Sawada-Kotera equation. Zbl 1462.35120Arshad, Muhammad; Lu, Dianchen; Wang, Jun; Abdullah 1 2018 Applications of modified mathematical method on some nonlinear water wave dynamical models. Zbl 1402.76030Seadawy, Aly R.; Ali, Asghar; Lu, Dianchen 1 2018 Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. Zbl 1448.35430Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen 1 2018 \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations. Zbl 07257663Arshad, Muhammad; Lu, Dianchen; Wang, Jun 4 2017 Traveling wave solutions of space-time fractional generalized fifth-order KdV equation. Zbl 1400.35061Lu, Dianchen; Yue, Chen; Arshad, Muhammad 2 2017 Exact solutions for fractional nonlinear evolution equations by the \(F\)-expansion method. Zbl 1394.35557Lu, Dianchen; Zhang, Zhihui 1 2017 Computable analysis of a boundary-value problem for the generalized KdV-Burgers equation. Zbl 1325.35196Lu, Dianchen; Chen, Chenxia 1 2015 Multiple positive solutions for semilinear Schrödinger equations with critical growth in \(\mathbb{R}^{N}\). Zbl 1318.35111Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao 1 2015 Application of the homotopy analysis method for solving the variable coefficient KdV-Burgers equation. Zbl 1472.35337Lu, Dianchen; Liu, Jie 2 2014 Approximate solutions of general perturbed KdV-Burgers equations. Zbl 1304.35611Hong, Baojian; Lu, Dianchen 1 2014 New exact Jacobi elliptic function solutions for the coupled Schrödinger-Boussinesq equations. Zbl 1397.35273Hong, Baojian; Lu, Dianchen 3 2013 New exact solutions for the generalized variable-coefficient Gardner equation with forcing term. Zbl 1308.35243Hong, Baojian; Lu, Dianchen 7 2012 New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients. Zbl 1255.35193Hong, Baojian; Lu, Dianchen 6 2012 New exact solutions for \((2+1)\)-dimensional Kadomtsev-Petviashvili equation. Zbl 1236.35159Yang, Libo; Lu, Dianchen 1 2011 A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order. Zbl 1203.35236Lu, Dianchen; Liu, CuiLian 5 2010 Exact solutions of the variable coefficient Burgers-Fisher equation with forced term. Zbl 1198.35246Zhang, Hongliang; Lu, Dianchen 2 2010 New Jacobi elliptic functions solutions for the combined KdV-MKdV equation. Zbl 1235.35248Lu, Dianchen; Shi, Qian 2 2010 New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations. Zbl 1221.35352Lu, Dianchen; Hong, Baojian; Tian, Lixin 11 2009 New exact solutions for mKdV-ZK equation. Zbl 1192.35159Yang, Libo; Lu, Dianchen; Hong, Baojian; Huang, Zengyong 1 2009 New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system. Zbl 1138.76023Lu, Dianchen; Hong, Baojian 16 2008 Control and synchronization of a new hyperchaotic system with unknown parameters. Zbl 1285.93049Lu, Dianchen; Wang, Aicheng; Tian, Xiandong 1 2008 New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system. Zbl 1129.35445Lu, Dianchen; Hong, Baojian; Tian, Lixin 7 2007 Optimal harvesting problems for an age-dependent \(n\)-dimensional food chain model with diffusion. Zbl 1109.92057Lu, Dianchen; Gu, Jianjun; Wang, Xiaoming 1 2007 New soliton-like solutions and localized coherent structures to the \( (2+1)\)-dimensional dispersive long wave equations with variable coefficients. Zbl 1150.35527Lu, Dianchen; Yang, Guangjuan 1 2007 New solutions of Jacobian elliptic and periodical function to \( (n+1)\)-dimensional Sinh-Gordon equation. Zbl 1150.35556Lu, Dianchen; Hong, Baojian; Tian, Lixin; Zhang, Dahang 1 2007 Compacton solutions and peakon solutions for a coupled nonlinear wave equation. Zbl 1394.35114Lu, Dianchen; Yang, Guangjuan 1 2007 On the well-posedness problem for the generalized Dullin-Gottwald-Holm equation. Zbl 1394.35426Lu, Dianchen; Peng, Dejun; Tian, Lixin 9 2006 Bäcklund transformation and \(N\)-soliton-like solutions to the combined KdV-Burgers equation with variable coefficients. Zbl 1394.35113Lu, Dianchen; Hong, Baojian; Tian, Lixin 6 2006 Explicit and exact solutions to a variable coefficient combined KdV equation with forced term. Zbl 1202.35239Lu, Dian Chen; Hong, Bao Jian; Tian, Li Xin 5 2006 Divergence bounded computable real numbers. Zbl 1094.03050Zheng, Xizhong; Lu, Dianchen; Bao, Kejin 3 2006 Global synchronization for time-delay of WINDMI system. Zbl 1175.34096Wang, Junxa; Lu, Dianchen; Tian, Lixin 3 2006 Boundary control of the Kuramoto-Sivashinsky equation with an external excitation. Zbl 1394.35402Cao, Haixia; Lu, Dianchen; Tian, Lixin; Cheng, Yueling 2 2006 Wavelet basis analysis in perturbed periodic KdV equation. Zbl 0936.35170Lu, Dianchen; Tian, Lixin; Liu, Zengrong 7 1998 The property of nonwandering operator. Zbl 0848.47015Tian, Lixin; Lu, Dianchen 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 323 Authors 20 Lu, Dianchen 16 Seadawy, Aly R. 11 Tian, Lixin 8 Hong, Baojian 8 Khater, Mostafa M. A. 6 Inc, Mustafa 6 Wang, Kang-Jia 5 Khalique, Chaudry Masood 4 Attia, Raghda A. M. 4 Chu, Yuming 4 Kaikina, Elena Igorevna 4 Wang, Guodong 3 Ahmad, Hijaz 3 Ali Akbar, M. 3 Băleanu, Dumitru I. 3 Ilhan, Onur Alp 3 Iqbal, Mujahid 3 Khan, Tufail A. 3 Kudryashov, Nikolaĭ Alekseevich 3 Naumkin, Pavel Ivanovich 3 Rezazadeh, Hadi 3 Rizvi, Syed Tahir Raza 3 Shah, Kamal 3 Zayed, Elsayed M. E. 3 Zheng, Xizhong 2 Ahmed, Hamdy M. 2 Akgül, Ali 2 Akuamoah, Saviour Worlanyo 2 Alfalqi, S. H. 2 Ali, Asghar 2 Ali, Hegagi Mohamed 2 Ali, Kashif 2 Ali, Khalid Karam 2 Alurrfi, Khaled A. E. 2 Alzaidi, J. F. 2 Ameen, Ismail Gad 2 Arnous, Ahmed H. 2 Badra, Niveen 2 Bruzón, Maria Santos 2 Chen, Yiren 2 Gandarias Núñez, Maria Luz 2 Gepreel, Khaled A. 2 Govinder, Keshlan Sathasiva 2 Gu, Yongyi 2 Iqbal, Naveed H. 2 Kumar, Raj 2 Li, Shaoyong 2 Liang, Yanhong 2 Lin, Ji 2 Liu, Xingxing 2 Liu, Yue 2 Manafian Heris, Jalil 2 Mhlanga, Isaiah Elvis 2 Narain, Rivendra 2 Okeke, Justina Ebele 2 Park, Choonkil 2 Rehman, Mehvish Fazal Ur 2 Samir, Islam 2 Song, Ming 2 Soybaş, Danyal 2 Stanimirović, Predrag S. 2 Sulaiman, Tukur Abdulkadir 2 Yaro, David 2 Yin, Zhaoyang 2 Yuan, Wenjun 2 Yusuf, Abdullahi A. 1 Abdalla, Mohamed 1 Abdel Kader, Abass H. 1 Abdel-Khalek, Sayed 1 Abdel Latif, Mohamed Soror 1 Abdelaziz, Mahmoud A. M. 1 Abdeljawad, Thabet 1 Abdelsalam, U. M. 1 Abelman, Shirley 1 Abuasad, Salah 1 Adel, Waleed 1 Agarwal, Praveen 1 Ahmad, Imtiaz 1 Ahmad, Israr 1 Ahmadian, Ali 1 Ahmed, Ahmed El-Sayed 1 Ahmed, Nauman 1 Akhter, Mousumi 1 Akinlar, Mehmet Ali 1 Al-Amr, Mohammed O. 1 Albarakati, Wafaa A. 1 Ali, Ahmed Hassan Ahmed 1 Ali, Gauhar 1 Ali, Mubasher 1 Ali, Norhashidah Hj. Mohd. 1 Ali, Shahadat 1 Ali, Zeeshan 1 Allehiany, F. M. 1 Alquran, Marwan Taiseer 1 Alruwaili, Abdulmohsen D. 1 Al-saedi, Ahmed Eid Salem 1 Alshammari, Saleh 1 Alzaidy, Jameel F. 1 Amirali, Ilhame 1 Apeanti, Wilson Osafo ...and 223 more Authors all top 5 Cited in 68 Serials 17 Applied Mathematics and Computation 9 Advances in Mathematical Physics 8 Chaos, Solitons and Fractals 8 Advances in Difference Equations 7 Abstract and Applied Analysis 6 Journal of Geometry and Physics 6 AIMS Mathematics 5 Physics Letters. A 5 Nonlinear Analysis. Real World Applications 5 International Journal of Applied and Computational Mathematics 4 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Fractals 4 Nonlinear Dynamics 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Function Spaces 3 Applied Mathematics. Series B (English Edition) 3 Complexity 3 Journal of Applied Mathematics 3 Communications in Theoretical Physics 2 Computers & Mathematics with Applications 2 Physica A 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 GEM - International Journal on Geomathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Archives of Control Sciences 1 Russian Journal of Mathematical Physics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Izvestiya: Mathematics 1 Mathematical Problems in Engineering 1 Theory of Computing Systems 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Evolution Equations 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Computational & Mathematical Methods in Medicine 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 International Journal of Biomathematics 1 Differential Equations and Applications 1 Bulletin of Mathematical Analysis and Applications 1 Symmetry 1 Analysis and Mathematical Physics 1 Arabian Journal for Science and Engineering 1 ISRN Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Journal of Nonlinear Dynamics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Waves, Wavelets and Fractals. Advanced Analysis 1 Electronic Research Archive all top 5 Cited in 30 Fields 137 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Real functions (26-XX) 12 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 7 Quantum theory (81-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 5 Topological groups, Lie groups (22-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year