中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1143-1148.doi: 10.1088/1009-1963/15/6/004

• GENERAL • 上一篇    下一篇

New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation

套格图桑, 斯仁道尔吉   

  1. College of Mathematical Science,Inner Mongolia Normal University Huhhot 010022, China
  • 收稿日期:2005-12-08 修回日期:2006-02-06 出版日期:2006-06-20 发布日期:2006-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10461006), the High Education Science Research Program (Grant No NJ02035) of Inner Mongolia Autonomous Region, Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No 2004080201103) and the Youth Research Program of Inner Mongolia Normal University (Grant No QN005023).

New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation

Taogetusang (套格图桑), Sirendaoreji (斯仁道尔吉)   

  1. College of Mathematical Science,Inner Mongolia Normal University Huhhot 010022, China
  • Received:2005-12-08 Revised:2006-02-06 Online:2006-06-20 Published:2006-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10461006), the High Education Science Research Program (Grant No NJ02035) of Inner Mongolia Autonomous Region, Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No 2004080201103) and the Youth Research Program of Inner Mongolia Normal University (Grant No QN005023).

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摘要： In this paper, based on hyperbolic tanh-function method and homogeneous balance method, and auxiliary equation method, some new exact solitary solutions to the generalized mKdV equation and generalized Zakharov--Kuzentsov equation are constructed by the method of auxiliary equation with function transformation with aid of symbolic computation system Mathematica. The method is of important significance in seeking new exact solutions to the evolution equation with arbitrary nonlinear term.

Abstract: In this paper, based on hyperbolic tanh-function method and homogeneous balance method, and auxiliary equation method, some new exact solitary solutions to the generalized mKdV equation and generalized Zakharov--Kuzentsov equation are constructed by the method of auxiliary equation with function transformation with aid of symbolic computation system Mathematica. The method is of important significance in seeking new exact solutions to the evolution equation with arbitrary nonlinear term.

Key words: generalized mKdV equation, generalized Zakharov--Kuzentsov equation, nonlinear evolution equation, auxiliary equation, exact solitary wave solutions

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
02.30.Sa (Functional analysis) 02.70.Wz (Symbolic computation (computer algebra)) 05.45.Yv (Solitons)