NEW TRUNCATED EXPANSION METHOD AND SOLITON-LIKE SOLUTION OF VARIABLE COEFFICIENT KdV-MKdV EQUATION WITH THREE ARBITRARY FUNCTIONS

被引：0

作者：

张解放

刘宇陆

机构：

[1] Institute of Nonlinear Physics, Zhejiang Normal University,Jinhua, Zhejiang 321004, P.R.China

[2] Institute of Shanghai Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China ,Institute of Shanghai Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

来源：

Applied Mathematics and Mechanics(English Edition) | 2003年 / 11期

关键词：

variable coefficient; nonlinear evolution equation; soliton-like solution; truncated expansion method;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The truncated expansion method for finding explicit and exact soliton-like solution of variable coefficient nonlinear evolution equation was described. The crucial idea of the method was first the assumption that coefficients of the truncated expansion formal solution are functions of time satisfying a set of algebraic equations, and then a set of ordinary different equations of undetermined functions that can be easily integrated were obtained. The simplicity and effectiveness of the method by application to a general variable coefficient KdV-MKdV equation with three arbitrary functions of time is illustrated.

引用

页码：1259 / 1263

页数：5