A new variable coefficient algebraic method and non-travelling wave solutions of nonlinear equations

被引：0

作者：

陆斌 ^{[1
]}

张鸿庆 ^{[1
]}

机构：

[1] Department of Applied Mathematics, Dalian University of Technology

来源：

Chinese Physics B | 2008年 / 17卷 / 11期

关键词：

nonlinear partial differential equations; non-travelling wave solutions; asymmetric Nizhnik–Novikov–Vesselov equation;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175 [微分方程、积分方程];

学科分类号：

0701 ; 070104 ;

摘要：

In this paper, a new auxiliary equation method is presented of constructing more new non-travelling wave solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the validity and the advantages of the method, (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation is employed and many new double periodic non-travelling wave solutions are obtained. This algorithm can also be applied to other nonlinear differential equations.

引用

页码：3974 / 3984

页数：11

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