Darboux transformation and bidirectional soliton solutions of a new (2 + 1)-dimensional soliton equation

Zhaqilao; Zhi Bin Li

doi:10.1016/j.physleta.2007.09.072

Darboux transformation and bidirectional soliton solutions of a new (2 + 1)-dimensional soliton equation

Zhaqilao
, Zhi Bin Li^*

^*此作品的通讯作者

数学科学学院

East China Normal University
Inner Mongolia Normal University China

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

A new (2 + 1)-dimensional soliton equation and its spectral problems are presented. The Darboux transformation with multi-parameters for the spectral problems is constructed with the help of a gauge transformation. And by using the Darboux transformation, some new bidirectional soliton solutions of the (2 + 1)-dimensional soliton equation are obtained. An interesting solution of three-peak soliton has been found.

源语言	英语
页（从-至）	1422-1428
页数	7
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	372
期	9
DOI	https://doi.org/10.1016/j.physleta.2007.09.072
出版状态	已出版 - 25 2月 2008

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abstract = "A new (2 + 1)-dimensional soliton equation and its spectral problems are presented. The Darboux transformation with multi-parameters for the spectral problems is constructed with the help of a gauge transformation. And by using the Darboux transformation, some new bidirectional soliton solutions of the (2 + 1)-dimensional soliton equation are obtained. An interesting solution of three-peak soliton has been found.",

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author = "Zhaqilao and Li, \{Zhi Bin\}",

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AU - Zhaqilao,

AU - Li, Zhi Bin

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Y1 - 2008/2/25

N2 - A new (2 + 1)-dimensional soliton equation and its spectral problems are presented. The Darboux transformation with multi-parameters for the spectral problems is constructed with the help of a gauge transformation. And by using the Darboux transformation, some new bidirectional soliton solutions of the (2 + 1)-dimensional soliton equation are obtained. An interesting solution of three-peak soliton has been found.

AB - A new (2 + 1)-dimensional soliton equation and its spectral problems are presented. The Darboux transformation with multi-parameters for the spectral problems is constructed with the help of a gauge transformation. And by using the Darboux transformation, some new bidirectional soliton solutions of the (2 + 1)-dimensional soliton equation are obtained. An interesting solution of three-peak soliton has been found.

KW - (2 + 1)-dimensional soliton equation

KW - Darboux transformation

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/38849182721

U2 - 10.1016/j.physleta.2007.09.072

DO - 10.1016/j.physleta.2007.09.072

M3 - 文章

AN - SCOPUS:38849182721

SN - 0375-9601

VL - 372

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

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

IS - 9

ER -

Darboux transformation and bidirectional soliton solutions of a new (2 + 1)-dimensional soliton equation

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