Complexiton solutions of the mKdV equation with self-consistent sources

Jun Su; Wei Xu; Liang Gao; Genjiu Xu

doi:10.1016/j.physleta.2010.01.041

Complexiton solutions of the mKdV equation with self-consistent sources

Jun Su
, Wei Xu
, Liang Gao
, Genjiu Xu

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

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.

源语言	英语
页（从-至）	1457-1463
页数	7
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	374
期	13-14
DOI	https://doi.org/10.1016/j.physleta.2010.01.041
出版状态	已出版 - 29 3月 2010

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title = "Complexiton solutions of the mKdV equation with self-consistent sources",

abstract = "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.",

keywords = "Complexitons, Darboux transformation, mKdV equation, Self-consistent sources",

author = "Jun Su and Wei Xu and Liang Gao and Genjiu Xu",

year = "2010",

month = mar,

day = "29",

doi = "10.1016/j.physleta.2010.01.041",

language = "英语",

volume = "374",

pages = "1457--1463",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

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TY - JOUR

T1 - Complexiton solutions of the mKdV equation with self-consistent sources

AU - Su, Jun

AU - Xu, Wei

AU - Gao, Liang

AU - Xu, Genjiu

PY - 2010/3/29

Y1 - 2010/3/29

N2 - 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.

AB - 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.

KW - Complexitons

KW - Darboux transformation

KW - mKdV equation

KW - Self-consistent sources

UR - https://www.scopus.com/pages/publications/77649235328

U2 - 10.1016/j.physleta.2010.01.041

DO - 10.1016/j.physleta.2010.01.041

M3 - 文章

AN - SCOPUS:77649235328

SN - 0375-9601

VL - 374

SP - 1457

EP - 1463

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 13-14

ER -

Complexiton solutions of the mKdV equation with self-consistent sources

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