计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (2): 68-70.DOI: 10.3778/j.issn.1002-8331.2009.02.019

• 研究、探讨 • 上一篇    下一篇

指数函数方法及其在非线性发展方程中的应用

刘玉堂,李富志   

  1. 聊城大学 数学科学学院,山东 聊城 252059
  • 收稿日期:2008-01-07 修回日期:2008-03-27 出版日期:2009-01-11 发布日期:2009-01-11
  • 通讯作者: 刘玉堂

Exp-function method and its application to evolution equations

LIU Yu-tang,LI Fu-zhi   

  1. School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China
  • Received:2008-01-07 Revised:2008-03-27 Online:2009-01-11 Published:2009-01-11
  • Contact: LIU Yu-tang

摘要: 在求解非线性发展方程时,指数函数方法是一种非常简洁有效的方法。用此方法求解了2+1维Burgers方程和2+1维KP方程,并且得到了一些新的精确解。

关键词: 指数函数方法, Burgers方程, KP方程, 孤立子解

Abstract: Exp-function method is compact and effective in finding solutions of nonlinear wave equations.And through it some new exact solutions are gotten of both of 2+1 dimensional Burgers and KP equations.

Key words: exp-function method, Burgers equation, KP equation, exact solution