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
收藏
页码：2421 / 2437
页数：17
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