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On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 卷号: 14, 期号: 4, 页码: 1176-1185
作者:  Shen, Yaliang;  Zhu, Yueping;  Cao, Nanbin
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Symbolic computation  Newly extended tanh-function expansion method  Non-travelling wave solution  Soliton-like solution  
Travelling wave fronts in a vector disease model with delay 期刊论文
APPLIED MATHEMATICAL MODELLING, 2008, 卷号: 32, 期号: 12, 页码: 2831-2838
作者:  Lin, Guojian;  Hong, Yiguang
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
vector disease model  travelling wave front  monotone iteration technique  upper and lower solution  
Single and multi-solitary wave solutions to a class of nonlinear evolution equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 1, 页码: 273-298
作者:  Wang, Deng-Shan;  Li, Hongbo
收藏  |  浏览/下载:128/0  |  提交时间:2018/07/30
travelling wave solution  multi-solitary wave  factorization technique  Bessel functions  Hirota's bilinear method  Painleve analysis  Riccati equation  elliptic equation  
The extension of the Jacobi elliptic function rational expansion method 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 卷号: 12, 期号: 5, 页码: 702-713
作者:  Yu, Yaxuan;  Wang, Qi;  Zhang, Hongqing
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Jacobi elliptic functions  Nonlinear evolution equations  Travelling wave solution  Jacobi elliptic function rational expansion method  
Elliptic equation's new solutions and their applications to two nonlinear partial differential equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 188, 期号: 1, 页码: 762-771
作者:  Wang, Deng-Shan;  Li, Hong-Bo
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
symbolic computation  elliptic equation  non-travelling wave solution  nonlinear partial differential equations  
An approach to directly construct exact solutions of nonlinear differential-difference equations 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 卷号: 62, 期号: 8, 页码: 1490-1497
作者:  Xie, FD;  Wang, DK;  Lu, ZS
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
differential-difference equation  travelling wave solution  symbolic computation  
A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations 期刊论文
ACTA PHYSICA SINICA, 2005, 卷号: 54, 期号: 9, 页码: 3992-3994
作者:  Yu, YX;  Wang, Q;  Zhao, XQ;  Zhi, HY;  Zhang, HQ
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
differential-difference equations  Hybrid lattice equation  travelling wave solution  solitary solution  
Using symbolic computation to exactly solve the integrable Broer-Kaup equations in (2+1)-dimensional spaces 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 4, 页码: 585-590
作者:  Xie, FD;  Chen, J;  Lu, ZS
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
BK equations  symbolic computation  non-travelling wave solution  
A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation 期刊论文
CHINESE PHYSICS, 2004, 卷号: 13, 期号: 11, 页码: 1796-1800
作者:  Yong, C;  Qi, W
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation  Jacobi elliptic functions  travelling wave solution  soliton solution  periodic solution  
New exact solutions for modified nonlinear dispersive equations mK(m, n) in higher dimensions spaces 期刊论文
MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 卷号: 64, 期号: 5, 页码: 549-559
作者:  Chen, Y;  Li, B;  Zhang, HQ
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
mK(m, n) equations  travelling wave solution  symbolic computation