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New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov-Kuzentsov equation
作者姓名:套格图桑  斯仁道尔吉
作者单位:College of Mathematical Science,Inner Mongolia Normal University Huhhot 010022, China;College of Mathematical Science,Inner Mongolia Normal University Huhhot 010022, China
基金项目: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).
摘    要:

关 键 词:广义mKdV方程  广义Zakharov-Kuzentsov方程  线性演化方程  精确孤波解
收稿时间:2005-12-08
修稿时间:2/6/2006 12:00:00 AM

New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation
Taogetusang and Sirendaoreji.New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov-Kuzentsov equation[J].Chinese Physics B,2006,15(6):1143-1148.
Authors:Taogetusang and Sirendaoreji
Institution:College of Mathematical Science,Inner Mongolia Normal University Huhhot 010022, China
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.
Keywords:generalized mKdV equation  generalized Zakharov--Kuzentsov equation  nonlinear evolution equation  auxiliary equation  exact solitary wave solutions
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