KdV Equation with Self-consistent Sources in Non-uniform Media

被引：0

作者：

Hao Hong-Hai ^{[1
]}

Wang Guang-Sheng ^{[2
]}

Zhang Da-Jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Nanjing Inst Technol, Dept Basic Courses, Nanjing 211167, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 51卷 / 06期

基金：

中国国家自然科学基金;

关键词：

non-isospectral KdV equation with self-consistent sources; gauge transformation; Hirota's method; Wronskian technique; dynamics; N-SOLITON SOLUTIONS; INVERSE SCATTERING METHOD; SINE-GORDON EQUATION; CONSERVATION-LAWS; PETVIASHVILI EQUATION; HIERARCHY; TRANSFORMATIONS; INTEGRATION; DARBOUX; WAVES;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two non-isospectral KdV equations with self-consistent sources are derived. Gauge transformation between the first non-isospectral KdV equation with self-consistent sources (corresponding to lambda(t) = -2a lambda) and its isospectral counterpart is given, from which exact solutions for the first non-isospectral KdV equation with self-consistent sources is easily listed. Besides, the soliton solutions for the two equations are obtained by means of Hirota's method and Wronskian technique, respectively. Meanwhile, the dynamical properties for these solutions are investigated.

引用

页码：989 / 999

页数：11

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