Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

Huijuan Zhou; Yong Chen

doi:10.1007/s11071-021-06953-8

Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

Huijuan Zhou, Yong Chen

School of Mathematical Sciences

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

46 Scopus citations

Abstract

In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.

Original language	English
Pages (from-to)	3437-3451
Number of pages	15
Journal	Nonlinear Dynamics
Volume	106
Issue number	4
DOIs	https://doi.org/10.1007/s11071-021-06953-8
State	Published - Dec 2021

Keywords

Breathers and rogue waves on the double-periodic background
Darboux transformation
Reverse-space-time derivative nonlinear Schrödinger equation

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10.1007/s11071-021-06953-8

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title = "Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schr{\"o}dinger equation",

abstract = "In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schr{\"o}dinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.",

keywords = "Breathers and rogue waves on the double-periodic background, Darboux transformation, Reverse-space-time derivative nonlinear Schr{\"o}dinger equation",

author = "Huijuan Zhou and Yong Chen",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2021",

month = dec,

doi = "10.1007/s11071-021-06953-8",

language = "英语",

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T1 - Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

AU - Zhou, Huijuan

AU - Chen, Yong

PY - 2021/12

Y1 - 2021/12

N2 - In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.

AB - In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.

KW - Breathers and rogue waves on the double-periodic background

KW - Darboux transformation

KW - Reverse-space-time derivative nonlinear Schrödinger equation

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DO - 10.1007/s11071-021-06953-8

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SN - 0924-090X

VL - 106

SP - 3437

EP - 3451

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

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