On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

被引：1
|
作者：
Sun, Ye-Peng [1 ]
Tam, Hon-Wah [2 ]
机构：
[1] Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
[2] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Source generation procedure; Non-isospectral KP equation; Grammian determinant solution; Pfaffianization; Self-consistent sources; N-SOLITON SOLUTIONS; KDV EQUATION; DARBOUX TRANSFORMATIONS; VRIES EQUATION; KP EQUATION; HIERARCHY; PFAFFIANIZATION; INTEGRATION; KORTEWEG;
D O I：
10.1016/j.na.2008.02.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：1610 / 1619
页数：10
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