Breathers, rogue waves and their dynamics in a (2 + 1)-dimensional nonlinear Schrödinger equation

Yong Chen; Xiu Bin Wang; Bo Han

doi:10.1142/S0217984920502346

Breathers, rogue waves and their dynamics in a (2 + 1)-dimensional nonlinear Schrödinger equation

Yong Chen
, Xiu Bin Wang^*
, Bo Han

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

8 Scopus citations

Abstract

Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation, which is a generalization of the standard nonlinear Schrödinger equation. By means of the modified Darboux transformation, the hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Furthermore, the main characteristics of the nonlinear waves including the Akhmediev breathers, Kuznetsov-Ma solitons, and their combined structures are graphically discussed. Our results would be of much importance in enriching and explaining rogue wave phenomena in nonlinear wave fields.

Original language	English
Article number	2050234
Journal	Modern Physics Letters B
Volume	34
Issue number	23
DOIs	https://doi.org/10.1142/S0217984920502346
State	Published - 20 Aug 2020

Keywords

A (2 + 1)-dimensional nonlinear Schrödinger ((2 + 1)-DNLS) equation
Darboux transformation (DT)
breather waves (BWs)
rogue waves (RWs)

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10.1142/S0217984920502346

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title = "Breathers, rogue waves and their dynamics in a (2 + 1)-dimensional nonlinear Schr{\"o}dinger equation",

abstract = "Under investigation in this paper is a (2+1)-dimensional nonlinear Schr{\"o}dinger equation, which is a generalization of the standard nonlinear Schr{\"o}dinger equation. By means of the modified Darboux transformation, the hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Furthermore, the main characteristics of the nonlinear waves including the Akhmediev breathers, Kuznetsov-Ma solitons, and their combined structures are graphically discussed. Our results would be of much importance in enriching and explaining rogue wave phenomena in nonlinear wave fields.",

keywords = "A (2 + 1)-dimensional nonlinear Schr{\"o}dinger ((2 + 1)-DNLS) equation, Darboux transformation (DT), breather waves (BWs), rogue waves (RWs)",

author = "Yong Chen and Wang, \{Xiu Bin\} and Bo Han",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = aug,

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doi = "10.1142/S0217984920502346",

language = "英语",

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journal = "Modern Physics Letters B",

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TY - JOUR

T1 - Breathers, rogue waves and their dynamics in a (2 + 1)-dimensional nonlinear Schrödinger equation

AU - Chen, Yong

AU - Wang, Xiu Bin

AU - Han, Bo

PY - 2020/8/20

Y1 - 2020/8/20

N2 - Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation, which is a generalization of the standard nonlinear Schrödinger equation. By means of the modified Darboux transformation, the hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Furthermore, the main characteristics of the nonlinear waves including the Akhmediev breathers, Kuznetsov-Ma solitons, and their combined structures are graphically discussed. Our results would be of much importance in enriching and explaining rogue wave phenomena in nonlinear wave fields.

AB - Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation, which is a generalization of the standard nonlinear Schrödinger equation. By means of the modified Darboux transformation, the hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Furthermore, the main characteristics of the nonlinear waves including the Akhmediev breathers, Kuznetsov-Ma solitons, and their combined structures are graphically discussed. Our results would be of much importance in enriching and explaining rogue wave phenomena in nonlinear wave fields.

KW - A (2 + 1)-dimensional nonlinear Schrödinger ((2 + 1)-DNLS) equation

KW - Darboux transformation (DT)

KW - breather waves (BWs)

KW - rogue waves (RWs)

UR - https://www.scopus.com/pages/publications/85083339987

U2 - 10.1142/S0217984920502346

DO - 10.1142/S0217984920502346

M3 - 文章

AN - SCOPUS:85083339987

SN - 0217-9849

VL - 34

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 23

M1 - 2050234

ER -

Breathers, rogue waves and their dynamics in a (2 + 1)-dimensional nonlinear Schrödinger equation

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Keywords

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