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.

引用

页码：1610 / 1619

页数：10

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