四川师范大学学报(自然科学版)2012,Vol.35Issue(4):435-438,4.DOI:10.3969/j.issn.1001-8395.2012.04.001
广义变系数Gardner方程新的精确解
The New Explicit Solutions of the Gardner Equation with Generalized Variable Coefficient
摘要
Abstract
In this paper, the exact solutions of the Gardner equations with generalized variable coefficients are explored by the ( G'/G) -expansion method. Many new travelling wave solutions are obtained with the aid of symbolic computation. It is shown that the proposed method provides a powerful mathematical tool for nonlinear partial differential equations with variable coefficients.关键词
广义变系数Gardner方程/(G′/G)-展开法/行波解/符号计算Key words
generalized variable coefficient Gardner equation/ ( G'/G)-expansion method/ travelling wave solutions/ symbolic computation分类
数理科学引用本文复制引用
马志民,孙峪怀,孙阳,刘福生..广义变系数Gardner方程新的精确解[J].四川师范大学学报(自然科学版),2012,35(4):435-438,4.基金项目
国家自然科学基金—中国工程物理研究院NASF联合基金(10576025)资助项目 (10576025)