基于修正双线性Bäcklund变换的KP方程的Wronski行列式解

上海大学学报(自然科学版)

基于修正双线性Bäcklund变换的KP方程的Wronski行列式解

玄其飞，张大军

上海大学理学院,上海 200444

收稿日期:2007-01-25 修回日期:1900-01-01 出版日期:2008-06-30 发布日期:2008-06-30
通讯作者: 张大军

Wronskian Solutions of the KP Equation via a Modified Bilinear Bäcklund Transformation

XUAN Qi-fei,ZHANG Da-jun

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2007-01-25 Revised:1900-01-01 Online:2008-06-30 Published:2008-06-30
Contact: ZHANG Da-jun

摘要/Abstract

摘要： 基于KP方程的修正双线性Bäcklund变换，给出了Wronski行列式元素满足的条件，利用Wronskian技巧完成Wronski行列式解的验证，并给出Wronski行列式元素的若干表达式.

关键词: cklund变换, KP方程, Wronski行列式解, 双线性方程, 修正Bä

Abstract:

In this paper Wronskian solutions of the KP equation are discussed via a modified bilinear Bäcklund transformation. The conditions that the Wronskian entries satisfy are obtained and the Wronskian verification is achieved by means of the Wronskian technique. Finally, some explicit Wronskian entries are given.

Key words: bilinear form, modified Bä, Wronskian solution, cklund transformation, KP equation

中图分类号:

O 175.24

玄其飞;张大军. 基于修正双线性Bäcklund变换的KP方程的Wronski行列式解[J]. 上海大学学报(自然科学版).

XUAN Qi-fei;ZHANG Da-jun. Wronskian Solutions of the KP Equation via a Modified Bilinear Bäcklund Transformation
[J]. Journal of Shanghai University（Natural Science Edition）.

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