大学物理 ›› 2012, Vol. 31 ›› Issue (6): 25-25.

• 著者文摘 • 上一篇    下一篇

一类非线性波动方程的精确行波解

曹瑞   

  1. 菏泽学院数学系,山东菏泽274015
  • 出版日期:2012-06-25 发布日期:2012-06-20

Exact traveling wave solutions for a class of nonlinear wave equations

  • Online:2012-06-25 Published:2012-06-20

摘要: 利用改进的G'/G展开方法,借助于计算机代数系统Mathematica成功获得了一大类非线性波动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.

关键词: 改进的G'/G展开方法, 非线性方程, 行波解

Abstract: By introducing the improved G′/G expansion method,a series of new exact traveling solutions are obtained for a class of nonlinear wave equations with the aid of computer algebraic system of Mathematica.These solutions include solitary wave solutions,hyperbolic function solutions and trigonometric function solutions.

Key words: improved G′/G expansion method, nonlinear wave equations, traveling wave solutions

中图分类号: 

  • O175.29