Auxiliary equation method for solving nonlinear Wick-type partial differential equations

被引：1

作者：

Chen, Yong ^{[1
]}

Gao, Hongjun ^{[1
]}

机构：

[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 06期

关键词：

Auxiliary equation method; Wick-type PDE; Burger's equation; KdV equation; SERIES;

D O I：

10.1016/j.cnsns.2010.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the solutions of an auxiliary differential equation, a direct algebraic method is described to construct several kinds of exact travelling wave solutions for some Wick-type nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained. In addition, the links between Wick-type partial differential equations and variable coefficient partial differential equations are also clarified generally. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2421 / 2437

页数：17

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