Rational Solutions with Non-zero Asymptotics of the Modified Korteweg-de Vries Equation

被引：0

作者：

张莹莹 ^{[1
]}

张大军 ^{[1
]}

机构：

[1] Department of Mathematics,Shanghai University

来源：

Communications in Theoretical Physics | 2012年 / 57卷 / 06期

基金：

中国国家自然科学基金;

关键词：

the modified KdV equation; bilinear Ba¨cklund transformation; Wronskian; rational solutions;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175 [微分方程、积分方程];

学科分类号：

0701 ; 070104 ;

摘要：

Using the relation between the mKdV equation and the KdV-mKdV equation,we derive non-singular rational solutions for the mKdV equation.The solutions are given in terms of Wronskians.Dynamics of some solutions is investigated by means of asymptotic analysis.Wave trajectories of high order rational solutions are asymptotically governed by cubic curves.

引用

页码：923 / 929

页数：7

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