A fifth order semidiscrete mKdV equation

被引：0
|
作者：
ZHOU Tong [1 ]
ZHU ZuoNong [1 ]
HE Peng [1 ]
机构：
[1] Department of Mathematics,Shanghai Jiao Tong University
来源：
ScienceChina(Mathematics) | 2013年 / 56卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fifth order semidiscrete mKdV equation; Darboux transformation; soliton solutions; conversation laws; continuous limits;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper,aiming to get more insight on the relation between the higher order semidiscrete mKdV equations and higher order mKdV equations,we construct a fifth order semidiscrete mKdV equation from the three known semidiscrete mKdV fluxes.We not only give its Lax pairs,Darboux transformation,explicit solutions and infinitely many conservation laws,but also show that their continuous limits yield the corresponding results for the fifth order mKdV equation.We thus conclude that the fifth order discrete mKdV equation is extremely an useful discrete scheme for the fifth order mKdV equation.
引用
收藏
页码：121 / 132
页数：12
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