Trial equation method to nonlinear evolution equations with rank inhomogeneous: Mathematical discussions and its applications

被引：0

作者：

Liu, CS ^{[1
]}

机构：

[1] Daqing Petr Inst, Dept Math, Daqing 163318, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2006年 / 45卷 / 02期

关键词：

trial equation method; solvable equation; nonlinear evolution equation; exact solution;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A trial equation method to nonlinear evolution equation with rank inhomogeneous is given. As applications, the exact traveling wave solutions to some higher-order nonlinear equations such as generalized Boussinesq equation, generalized Pochhammer-Chree equation, KdV-Burgers equation, and KS equation and so on, are obtained. Among these, some results are new. The proposed method is based on the idea of reduction of the order of ODE. Some mathematical details of the proposed method are discussed.

引用

页码：219 / 223

页数：5

共 9 条

[1] Fu ZT, 2004, COMMUN THEOR PHYS, V41, P845
[2] Fu ZT, 2004, COMMUN THEOR PHYS, V41, P527
[3] Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients
Liu, CS
[J]. ACTA PHYSICA SINICA, 2005, 54 (10) : 4506 - 4510
[4] Trial equation method and its applications to nonlinear evolution equations
Liu, CS
[J]. ACTA PHYSICA SINICA, 2005, 54 (06) : 2505 - 2509
[5] A simple fast method in finding particular solutions of some nonlinear PDE
Liu, SK
Fu, ZT
Liu, SD
Zhao, Q
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (03) : 326 - 331
[6] Travelling solitary wave solutions to a compound KdV-Burgers equation
Parkes, EJ
Duffy, BR
[J]. PHYSICS LETTERS A, 1997, 229 (04) : 217 - 220
[7] Xie FD, 2005, COMMUN THEOR PHYS, V43, P39
[8] Yang L, 1996, SCI CHINA SER E, V39, P628
[9] Zhang WG, 2004, COMMUN THEOR PHYS, V41, P849

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