Lie symmetries of soliton equations with self-consistent sources via source generation procedure

被引：3

作者：

Hu, Juan ^{[1
,2
]}

Qian, Xian-Min ^{[3
]}

Tam, Hon-Wah ^{[4
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China

[3] Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China

[4] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

基金：

中国国家自然科学基金;

关键词：

KP equation; Sawada-Kotera (SK) equation; Differential-difference KP equation; Lie symmetries; Self-consistent sources; Source generation procedure; KADOMTSEV-PETVIASHVILI EQUATION; KORTEWEG-DEVRIES EQUATION; SINGULAR DISPERSION-LAWS; DIFFERENCE KP EQUATION; BKP EQUATIONS; NONLINEAR EVOLUTIONS; SYSTEMS; INTEGRATION; ALGEBRA; WAVES;

D O I：

10.1016/j.jmaa.2009.03.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent Sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS. and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：201 / 213

页数：13

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