摘要
本文研究了一类广义Zakharov方程的精确解行波解的问题.利用改进的G/G展开方法,借助于计算机代数系统Mathematica,获得了具有重要物理背景的广义Zakharov方程一系列新的含有多个参数的精确行波解,这些解包括孤立波解,双曲函数解,三角函数解,以及有理函数解.
In this paper, we study the exact traveling wave solutions for the generalized Zakharov equations. By introducing the improved G＇/G expansion method, many exact traveling wave solutions are obtained for the generalized Zakharov equations which have important physical background with the aid of computer algebraic system Mathematica, These solutions include solitary wave solutions, hyperbolic function solutions, trigonometric function solutions and rational function solutions.
出处
《数学杂志》
CSCD
北大核心
2013年第5期837-843,共7页
Journal of Mathematics
基金
菏泽学院科学研究基金资助(XYJJKJ-3)
关键词
改进的G’
G展开方法
广义Zakharov方程
精确行波解
孤立波解
improved G＇/G expansion method
the generalized Zakharov equations
exacttraveling wave solutions
solitary wave solutions
