Darboux transformation and interaction solutions of localized waves for a defocusing coupled complex modified Korteweg-de Vries equation

Wenying Cui; Yinping Liu

doi:10.1142/S0217984922501342

Darboux transformation and interaction solutions of localized waves for a defocusing coupled complex modified Korteweg-de Vries equation

Wenying Cui
, Yinping Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, the binary Darboux transformation for a defocusing coupled complex modified Korteweg-de Vries (dccmKdV) equation was investigated. With nonzero plane wave initial conditions, we further derived its dark-dark solitons, breather solutions, different types of rogue waves and some new interaction structures among them. These novel results can be applied in the areas of fluid, plasma mechanics, etc.

Original language	English
Article number	2250134
Journal	Modern Physics Letters B
Volume	36
Issue number	26-27
DOIs	https://doi.org/10.1142/S0217984922501342
State	Published - 20 Sep 2022

Keywords

Darboux transformation
Korteweg-de Vries equation
Rogue wave
dark soliton
interaction solution

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10.1142/S0217984922501342

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title = "Darboux transformation and interaction solutions of localized waves for a defocusing coupled complex modified Korteweg-de Vries equation",

abstract = "In this paper, the binary Darboux transformation for a defocusing coupled complex modified Korteweg-de Vries (dccmKdV) equation was investigated. With nonzero plane wave initial conditions, we further derived its dark-dark solitons, breather solutions, different types of rogue waves and some new interaction structures among them. These novel results can be applied in the areas of fluid, plasma mechanics, etc.",

keywords = "Darboux transformation, Korteweg-de Vries equation, Rogue wave, dark soliton, interaction solution",

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AU - Liu, Yinping

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Y1 - 2022/9/20

N2 - In this paper, the binary Darboux transformation for a defocusing coupled complex modified Korteweg-de Vries (dccmKdV) equation was investigated. With nonzero plane wave initial conditions, we further derived its dark-dark solitons, breather solutions, different types of rogue waves and some new interaction structures among them. These novel results can be applied in the areas of fluid, plasma mechanics, etc.

AB - In this paper, the binary Darboux transformation for a defocusing coupled complex modified Korteweg-de Vries (dccmKdV) equation was investigated. With nonzero plane wave initial conditions, we further derived its dark-dark solitons, breather solutions, different types of rogue waves and some new interaction structures among them. These novel results can be applied in the areas of fluid, plasma mechanics, etc.

KW - Darboux transformation

KW - Korteweg-de Vries equation

KW - Rogue wave

KW - dark soliton

KW - interaction solution

UR - https://www.scopus.com/pages/publications/85143647983

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DO - 10.1142/S0217984922501342

M3 - 文章

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JF - Modern Physics Letters B

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M1 - 2250134

ER -

Darboux transformation and interaction solutions of localized waves for a defocusing coupled complex modified Korteweg-de Vries equation

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Keywords

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