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A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2006, 卷号: 29, 期号: 4, 页码: 948-964
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
New compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 44, 期号: 5, 页码: 789-792
作者:  Chen, Y;  Yan, ZY
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30
(2+1)-dimensional nonlinear wave equation  comptacton-like solution  solitary pattern-like solution  
The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles 期刊论文
PHYSICS LETTERS A, 2005, 卷号: 345, 期号: 4-6, 页码: 362-377
作者:  Yan, ZY
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
integrable coupling  Backlund transformatiom  Painleve analysis  non-traveling wave solution  symbolic computation  
New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 3, 页码: 391-396
作者:  Yan, ZY
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
soliton equations  Weierstrass elliptic function  doubly periodic solution  symbolic computation  
Conditional similarity reductions of the (2+1)-dimensional KdV equation via the extended Lie group approach 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 卷号: 73, 期号: 6, 页码: 1464-1475
作者:  Tang, XY;  Qian, XM;  Lin, J;  Lou, SY
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
(2+1)-dimensional KdV equation  conditional symmetry  conditional similarity reduction  the extended Lie group approach  
New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm 期刊论文
Communications in Theoretical Physics, 2004, 卷号: 42, 期号: 5, 页码: 645
作者:  Yan Zhenya
收藏  |  浏览/下载：76/0  |  提交时间：2018/07/30
Soliton-like solutions for a (2+1)-dimensional nonintegrable KdV equation and a variable-coefficient KdV equation 期刊论文
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2003, 卷号: 118, 期号: 8, 页码: 767-776
作者:  Chen, Y;  Li, B
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Approximations for KdV equation as a Hamiltonian system 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 卷号: 39, 期号: 5-6, 页码: 1-11
作者:  Zhao, PF;  Qin, MZ
收藏  |  浏览/下载：66/0  |  提交时间：2018/07/30
Hamiltonian systems  KdV equation  conservation laws  spectral approximations  collocation approximations