## Xie, Fuding

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 Author ID: xie.fuding Published as: Xie, Fuding; Xie, Fu-Ding; Xie, F. more...less
 Documents Indexed: 43 Publications since 1995 2 Contributions as Editor Co-Authors: 40 Co-Authors with 40 Joint Publications 1,408 Co-Co-Authors
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### Co-Authors

 1 single-authored 8 Yan, Zhenya 8 Zhang, Hongqing 7 Ji, Min 5 Lü, Zhuosheng 4 Gao, Xiaoshan 2 Chen, Yong 2 Gong, Ling 2 Huang, Dan 2 Lu, Bin 2 Wang, Dingkang 2 Zhang, Dawei 1 Bian, Zijin 1 Caulfield, Craig 1 Doelman, Arjen 1 Fan, Suohai 1 Fan, Yutao 1 Lei, Cunkuan 1 Li, Biao 1 Li, Caihong 1 Li, Fangfei 1 Li, Lian 1 Li, Yongli 1 Liu, Xiaodan 1 Lu, Helen 1 Lü, Zhijun 1 Ping, Yu 1 Sang, Xue 1 Su, Jianzhong 1 Sun, Xiaopeng 1 Sun, Yan 1 Tan, Hongyan 1 Tang, Di 1 van Heijster, Peter 1 Wang, Jianzhou 1 Wang, Jimin 1 Wang, Jingquan 1 Wang, Zhaofei 1 Wang, Zhen 1 Xia, Jianhong 1 Xie, Fenghong 1 Yao, Rao 1 Zhao, Hong
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### Serials

 9 Chaos, Solitons and Fractals 6 Journal of Systems Science and Mathematical Sciences 6 Communications in Theoretical Physics 3 Journal of Lanzhou University. Natural Sciences 3 Abstract and Applied Analysis 2 Computers & Mathematics with Applications 2 Applied Mathematics and Mechanics. (English Edition) 1 Computer Physics Communications 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical and Computer Modelling 1 Journal of Dalian University of Technology 1 Journal of Luoyang University 1 Discrete Dynamics in Nature and Society 1 SIAM Journal on Applied Dynamical Systems 1 Journal of University of Electronic Science and Technology of China
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### Fields

 24 Partial differential equations (35-XX) 14 Computer science (68-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 151 times in 134 Documents Cited by Year
Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Zbl 0969.76517
Xie, F.; Yan, Z.; Zhang, H.
2001
Symbolic computation in nonlinear evolution equation: application to $$(3+1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1067.35095
Xie, Fuding; Zhang, Ying; Lü, Zhuosheng
2005
Travelling wave solutions of nonlinear partial equations by using the first integral method. Zbl 1191.35090
Lu, Bin; Zhang, Hongqing; Xie, Fuding
2010
A new method for solving nonlinear differential-difference equations. Zbl 1094.34058
Xie, Fuding; Wang, Jingquan
2006
Some solutions of discrete sine-Gordon equation. Zbl 1129.35456
Xie, Fuding; Ji, Min; Zhao, Hong
2007
Exact travelling wave solutions for a class of nonlinear partial differential equations. Zbl 1068.35146
Xie, Fuding; Gao, Xiaoshan
2004
New travelling wave solutions of the generalized coupled Hirota-Satsuma KdV system. Zbl 1049.35164
Xie, Fuding
2004
A geometric approach to stationary defect solutions in one space dimension. Zbl 1343.34041
Doelman, A.; van Heijster, P.; Xie, F.
2016
Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients. Zbl 1205.35265
Lü, Zhuosheng; Xie, Fuding
2010
New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov $$(D(m, n))$$ system. Zbl 1197.35252
Xie, Fuding; Yan, Zhenya
2009
Symmetry reductions, integrability and solitary wave solutions to high-order modified Boussinesq equations with damping term. Zbl 1164.35505
Yan, Zhen-Ya; Xie, Fu-Ding; Zhang, Hong-Qing
2001
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084
Xie, Fuding; Yan, Zhenya
2008
Applications of computer algebra in solving nonlinear evolution equations. Zbl 1167.35300
Xie, Fu-Ding; Gao, Xiao-Shan
2004
An algorithmic method in Painlevé analysis of PDE. Zbl 1196.37111
Xie, Fuding; Chen, Yong
2003
Exactly fractional solutions of the $$(2+1)$$-dimensional modified KP equation via some fractional transformations. Zbl 1132.35468
Xie, Fuding; Yan, Zhenya
2008
A computational approach to the new type solutions of Whitham–Broer–Kaup equation in shallow water. Zbl 1167.35488
Xie, Fu-Ding; Gao, Xiao-Shan
2004
The solutions of Toda lattice and Volterra lattice. Zbl 1096.34552
Xie, Fuding; Lü, Zhuosheng; Wang, Dingkang
2006
An approach to directly construct exact solutions of nonlinear differential-difference equations. Zbl 1096.34501
Xie, Fuding; Wang, Dingkang; Lü, Zhuosheng
2005
Application of computer algebra in solving Chaffee-Infante equation. Zbl 1392.35026
Xie, Fu-Ding; Liu, Xiao-Dan; Sun, Xiao-Peng; Tang, Di
2008
The dimension of the linear differential ideal. Zbl 1020.12007
Xie, Fuding; Zhang, Hongqing
2003
Exact solutions of some systems of nonlinear partial differential equations using symbolic computation. Zbl 1030.35025
Xie, Fuding; Li, Ming; Zhang, Yong
2002
On study of solutions of Kac-van Moerbeke lattice and self-dual network equations. Zbl 1170.37335
Xie, Fu-Ding; Ji, Min; Gong, Ling
2006
Construction of exact solutions to the Jimbo-Miwa equation through Bäcklund transformation and symbolic computation. Zbl 1319.35223
Lü, Zhuosheng; Su, Jianzhong; Xie, Fuding
2013
A geometric approach to stationary defect solutions in one space dimension. Zbl 1343.34041
Doelman, A.; van Heijster, P.; Xie, F.
2016
Construction of exact solutions to the Jimbo-Miwa equation through Bäcklund transformation and symbolic computation. Zbl 1319.35223
Lü, Zhuosheng; Su, Jianzhong; Xie, Fuding
2013
Travelling wave solutions of nonlinear partial equations by using the first integral method. Zbl 1191.35090
Lu, Bin; Zhang, Hongqing; Xie, Fuding
2010
Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients. Zbl 1205.35265
Lü, Zhuosheng; Xie, Fuding
2010
New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov $$(D(m, n))$$ system. Zbl 1197.35252
Xie, Fuding; Yan, Zhenya
2009
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084
Xie, Fuding; Yan, Zhenya
2008
Exactly fractional solutions of the $$(2+1)$$-dimensional modified KP equation via some fractional transformations. Zbl 1132.35468
Xie, Fuding; Yan, Zhenya
2008
Application of computer algebra in solving Chaffee-Infante equation. Zbl 1392.35026
Xie, Fu-Ding; Liu, Xiao-Dan; Sun, Xiao-Peng; Tang, Di
2008
Some solutions of discrete sine-Gordon equation. Zbl 1129.35456
Xie, Fuding; Ji, Min; Zhao, Hong
2007
A new method for solving nonlinear differential-difference equations. Zbl 1094.34058
Xie, Fuding; Wang, Jingquan
2006
The solutions of Toda lattice and Volterra lattice. Zbl 1096.34552
Xie, Fuding; Lü, Zhuosheng; Wang, Dingkang
2006
On study of solutions of Kac-van Moerbeke lattice and self-dual network equations. Zbl 1170.37335
Xie, Fu-Ding; Ji, Min; Gong, Ling
2006
Symbolic computation in nonlinear evolution equation: application to $$(3+1)$$-dimensional Kadomtsev-Petviashvili equation. Zbl 1067.35095
Xie, Fuding; Zhang, Ying; Lü, Zhuosheng
2005
An approach to directly construct exact solutions of nonlinear differential-difference equations. Zbl 1096.34501
Xie, Fuding; Wang, Dingkang; Lü, Zhuosheng
2005
Exact travelling wave solutions for a class of nonlinear partial differential equations. Zbl 1068.35146
Xie, Fuding; Gao, Xiaoshan
2004
New travelling wave solutions of the generalized coupled Hirota-Satsuma KdV system. Zbl 1049.35164
Xie, Fuding
2004
Applications of computer algebra in solving nonlinear evolution equations. Zbl 1167.35300
Xie, Fu-Ding; Gao, Xiao-Shan
2004
A computational approach to the new type solutions of Whitham–Broer–Kaup equation in shallow water. Zbl 1167.35488
Xie, Fu-Ding; Gao, Xiao-Shan
2004
An algorithmic method in Painlevé analysis of PDE. Zbl 1196.37111
Xie, Fuding; Chen, Yong
2003
The dimension of the linear differential ideal. Zbl 1020.12007
Xie, Fuding; Zhang, Hongqing
2003
Exact solutions of some systems of nonlinear partial differential equations using symbolic computation. Zbl 1030.35025
Xie, Fuding; Li, Ming; Zhang, Yong
2002
Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Zbl 0969.76517
Xie, F.; Yan, Z.; Zhang, H.
2001
Symmetry reductions, integrability and solitary wave solutions to high-order modified Boussinesq equations with damping term. Zbl 1164.35505
Yan, Zhen-Ya; Xie, Fu-Ding; Zhang, Hong-Qing
2001
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### Cited by 237 Authors

 13 Zhang, Hongqing 6 Gepreel, Khaled A. 6 Song, Lina 6 Zayed, Elsayed M. E. 5 Aslan, İsmail 4 Băleanu, Dumitru I. 4 Ganji, Davood Domiri 4 Zhang, Sheng 3 Bekir, Ahmet 3 Gao, Yitian 3 Khalique, Chaudry Masood 3 Wang, Dengshan 3 Wang, Mingliang 3 Xia, Tie-Cheng 2 Abourabia, Aly Maher 2 Alurrfi, Khaled A. E. 2 Amer, Yasser A. 2 Biswas, Anjan 2 Cao, Jun 2 Chen, Huaitang 2 Evans, David John 2 Gai, Xiaoling 2 Güner, Özkan 2 Inc, Mustafa 2 Li, Erqiang 2 Li, Hongbo 2 Li, Xiangzheng 2 Lin, Guo-Dong 2 Lu, Bin 2 Meng, Dexin 2 Nofal, Taher A. 2 Pang, Chunping 2 Rezazadeh, Hadi 2 Rokni, Houman B. 2 Rus, Francisco 2 Shehata, Abdel Rahman M. 2 Song, Ming 2 Tang, Shengqiang 2 Villatoro, Francisco R. 2 Wang, Dan 2 Wang, Lei 2 Wang, Zhen 2 Wu, Liping 2 Yu, Xin 2 Zhang, Jinliang 1 Abbasbandy, Saeid 1 Abdullah, Farah Aini 1 Adem, Abdullahi Rashid 1 Akturk, Tolga 1 Al-Shawba, Altaf A. 1 Al-Thobaiti, Ali A. 1 Alam, Nur 1 Ali Akbar, M. 1 Ali, Asghar 1 Alizade, Farkhad Khikmet 1 Alotaibi, Fawziah M. 1 Althobaiti, Saad 1 Aminikhah, Hossein 1 Anco, Stephen C. 1 Ansari, Reza 1 Asgari, Zohreh 1 Atangana, Abdon 1 Azmi, Amirah 1 Ba, Jin-Mei 1 Bedjaoui, Nabil 1 Belgacem, Fethi bin Muhammad 1 Bi, Qinsheng 1 Boz, Ahmet 1 Bulut, Hasan 1 Cai, Huixian 1 Cao, Jinlong 1 Cao, Rui 1 Cao, Weiping 1 Chen, Senfa 1 Chen, Xumei 1 Chen, Yan-Ze 1 Chen, Yufu 1 Cheng, Li 1 Cheng, Zhilong 1 Chow, Kwok Wing 1 Daniali, H. R. Mohammadi 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Xijun 1 Dimitrova, Zlatinka I. 1 Dinarvand, Saeed 1 Ding, Qi 1 Ding, Xinwei 1 Dong, Ling 1 Ebadi, Ghodrat 1 El-Ganaini, Shoukry Ibrahim Atia 1 El Horbaty, M. M. 1 Elgarayhi, A. 1 Fahand, A. 1 Fei, Jinxi 1 Feng, Yang 1 Galenko, Petr Konstantinovich 1 Gandarias Núñez, Maria Luz 1 Ganji, S. S. 1 Gao, Liang 1 Ge, Dongjie ...and 137 more Authors
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### Cited in 54 Serials

 26 Applied Mathematics and Computation 9 Chaos, Solitons and Fractals 9 Communications in Nonlinear Science and Numerical Simulation 8 Abstract and Applied Analysis 6 Nonlinear Dynamics 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics Letters 4 Journal of Applied Mathematics 4 Advances in Difference Equations 3 Communications in Theoretical Physics 2 Journal of Mathematical Analysis and Applications 2 Reports on Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Computational Mathematics and Modeling 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 International Journal of Modern Physics C 2 Journal of Nonlinear Mathematical Physics 2 Boundary Value Problems 2 International Journal of Applied and Computational Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Journal of Computational and Applied Mathematics 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Advances in Engineering Software 1 Applied Mathematics. Series B (English Edition) 1 Engineering Analysis with Boundary Elements 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 Journal of Shanghai University 1 Discrete Dynamics in Nature and Society 1 Entropy 1 Journal of Applied Mathematics and Computing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Computational Methods 1 Waves in Random and Complex Media 1 Journal of Shanghai Jiaotong University (Science) 1 Differential Equations & Nonlinear Mechanics 1 Chebyshevskiĭ Sbornik 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Journal of Applied Analysis and Computation 1 Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 20 Fields

 109 Partial differential equations (35-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Numerical analysis (65-XX) 16 Ordinary differential equations (34-XX) 13 Fluid mechanics (76-XX) 9 Computer science (68-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)