Generalized Darboux transformations for the KP equation with self-consistent sources

被引：78
|
作者：
Xiao, T [1 ]
Zeng, YB [1 ]
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 28期
关键词：
D O I：
10.1088/0305-4470/37/28/006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The KP equation with self-consistent sources (KPESCS) is treated in the framework of the constrained KP equation. This offers a natural way to obtain the Lax representation for the KPESCS. Based on the conjugate Lax pairs, we construct the generalized binary Darboux transformation with arbitrary functions in time t for the KPESCS which, in contrast to the binary Darboux transformation of the KP equation, provides a non-auto-Backlund transformation between two KPESCSs with different degrees. The formula for N-times repeated generalized binary Darboux transformation is proposed and enables us to find the N-soliton solution and lump solution as well as some other solutions of the KPESCS.
引用
收藏
页码：7143 / 7162
页数：20
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