华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 51-59.

• 数学 统计学 • 上一篇    下一篇

广义混合KdV-mKdV方程的周期波解和孤波解(英)

董 明, 李志斌   

  1. 华东师范大学 计算机系, 上海 200062
  • 收稿日期:2004-05-26 修回日期:2004-11-01 出版日期:2006-05-25 发布日期:2006-05-25
  • 通讯作者: 董 明

Periodic and Solitary Wave Solutions to Generalized Compound KdV-mKdV Equations(English)

DONG Ming, LI Zhi-bin   

  1. Department of Computer Science, East China Normal University, Shanghai 200062, China
  • Received:2004-05-26 Revised:2004-11-01 Online:2006-05-25 Published:2006-05-25
  • Contact: DONG Ming

摘要： 应用雅克比椭圆函数展开法求解了广义混和KdV-mKdV方程,并引入了一个转化用以简化求解过程, 许多解可以由此而得到.若取定一定的参数, 则可以推导出一些著名非线性方程的解.

关键词: 雅克比椭圆函数, 非线性方程, 孤波解, 周期波解, 雅克比椭圆函数, 非线性方程, 孤波解, 周期波解

Abstract: A Jacobi elliptic function expansion method was used to solve generalized compound KdV-mKdV equations. Before this a transformation was introduced to simplify the solving process. Many solutions were obtained through this method, and some of them can be deduced to solutions of some famous nonlinear equations with particular parameters.

Key words: nonlinear equation, solitary wave solutions, periodic wave solutions, Jacobi elliptic function, nonlinear equation, solitary wave solutions, periodic wave solutions

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