Complexiton solutions of the mKdV equation with self-consistent sources

被引：0

作者：

Su, Jun ^{[1
]}

Xu, Wei ^{[1
]}

Gao, Liang ^{[1
]}

Xu, Genjiu ^{[1
]}

机构：

[1] NW Polytech Univ, Dept Appl Math, Sch Sci, Xian 710072, Peoples R China

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 13-14期

基金：

中国国家自然科学基金;

关键词：

Complexitons; Self-consistent sources; mKdV equation; Darboux transformation; DE-VRIES EQUATION; MODIFIED KDV EQUATION; DARBOUX TRANSFORMATIONS; BOUSSINESQ EQUATION; WRONSKIAN SOLUTIONS; NEGATON SOLUTIONS; POSITON SOLUTIONS; HIERARCHY; KORTEWEG; SOLITON;

D O I：

10.1016/j.physleta.2010.01.041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of complexiton solutions of the mKdV equation with self-consistent sources (mKdVESCSs) are presented by the generalized binary Darboux transformation (GBDT) with N arbitrary t-functions. Taking the special initial seed solution for auxiliary linear problems and the special functions of time t, the real-valued 1-complexiton solution of the mKdVESCSs is considered through the GBDT by selecting the complex spectral parameters in its Lax pair. It is important to point out that the real-valued 1-complexiton solution of the mKdVESCSs is analytical and singular. Moreover, the detailed structures of the 1-complexiton solution are given out analytically and graphically. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1457 / 1463

页数：7

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