Darboux and Backlund transformations for the nonisospectral KP equation

被引：31
作者：
Deng, Shu-Fang [1 ]
Qin, Zhen-Yun [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
PHYSICS LETTERS A | 2006年 / 357卷 / 06期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
nonisospectral KP equation; Darboux transformation; Backlund transformation; Wronskian technique;
D O I：
10.1016/j.physleta.2006.04.081
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Darboux transformation and Backlund transformation in bilinear form for the nonisospectral KP equation are first investigated. Corresponding solutions are derived by using the Backlund transformation in bilinear form. It has been shown that these transformations are auto-Backlund transformations for isospectral problems while not for nonisospectral ones. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：467 / 474
页数：8
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