修正KdV方程的极限解

上海大学学报(自然科学版)

修正KdV方程的极限解

欧美英，玄其飞,张大军

上海大学理学院, 上海 200444

收稿日期:2007-01-23 修回日期:1900-01-01 出版日期:2008-04-30 发布日期:2008-04-30
通讯作者: 张大军

Limit Solutions to Modified KdV Equation

OU Mei-ying, XUAN Qi-fei, ZHANG Da-jun

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2007-01-23 Revised:1900-01-01 Online:2008-04-30 Published:2008-04-30
Contact: ZHANG Da-jun

摘要/Abstract

摘要： 该文给出一个严格的极限过程，从修正KdV方程的Hirota的2N-孤子解出发，得到N-双重极点解，并且给出后者的一个简洁表示.这种极限过程具有普遍性，可以应用到其他具有Hirota形式多孤子解的非线性发展方程.

关键词: 2N-孤子解, N-双重极点解, 极限过程, 双线性方程, 修正KdV方程

Abstract: This paper describes an exact limit procedure by which a simple formula for the N-doublepole solution to the modified KdV equation is derived from its 2N-soliton solution in the Hirota’s form. This procedure is general and can be applied to other nonlinear evolution equations with multi-soliton solutions in the Hirota's form.
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Key words: 2N-soliton solution, bilinear equation, limit procedure, N-doublepole solution, modified KdV equation

中图分类号:

O175.24

欧美英;玄其飞;张大军. 修正KdV方程的极限解[J]. 上海大学学报(自然科学版).

OU Mei-ying;XUAN Qi-fei;ZHANG Da-jun . Limit Solutions to Modified KdV Equation[J]. Journal of Shanghai University（Natural Science Edition）.

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