Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

Zhaqilao; Zhi Bin Li

doi:10.1142/S0217984908017515

Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

Zhaqilao
, Zhi Bin Li^*

^*此作品的通讯作者

数学科学学院

Inner Mongolia Normal University China
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

摘要

A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

源语言	英语
页（从-至）	2945-2966
页数	22
期刊	Modern Physics Letters B
卷	22
期	30
DOI	https://doi.org/10.1142/S0217984908017515
出版状态	已出版 - 10 12月 2008

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title = "Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions",

abstract = "A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.",

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N2 - A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

AB - A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

KW - Darboux transformation

KW - Nonlinear evolution equation

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/58149250433

U2 - 10.1142/S0217984908017515

DO - 10.1142/S0217984908017515

M3 - 文章

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SN - 0217-9849

VL - 22

SP - 2945

EP - 2966

JO - Modern Physics Letters B

JF - Modern Physics Letters B

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ER -

Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

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