Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation

Yunqing Yang; Huanhe Dong; Yong Chen

doi:10.1016/j.wavemoti.2021.102787

Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation

Yunqing Yang^*
, Huanhe Dong
, Yong Chen

^*Corresponding author for this work

Shandong University of Science and Technology

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

17 Scopus citations

Abstract

We construct the exact nonlinear wave solutions of the Nonlinear Schrödinger equation on the period wave background instead of on a constant background. By using Darboux–Bäcklund transformation, soliton and breather solutions on two types of cnoidal wave backgrounds are given. The density evolutions of these solutions are given under different parameters to study their wave structures and dynamical properties.

Original language	English
Article number	102787
Journal	Wave Motion
Volume	106
DOIs	https://doi.org/10.1016/j.wavemoti.2021.102787
State	Published - Nov 2021
Externally published	Yes

Keywords

Darboux transformation
Nonlinear Schrödinger equation
Periodic wave background
Soliton

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10.1016/j.wavemoti.2021.102787

Cite this

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title = "Darboux–B{\"a}cklund transformation and localized excitation on the periodic wave background for the nonlinear Schr{\"o}dinger equation",

abstract = "We construct the exact nonlinear wave solutions of the Nonlinear Schr{\"o}dinger equation on the period wave background instead of on a constant background. By using Darboux–B{\"a}cklund transformation, soliton and breather solutions on two types of cnoidal wave backgrounds are given. The density evolutions of these solutions are given under different parameters to study their wave structures and dynamical properties.",

keywords = "Darboux transformation, Nonlinear Schr{\"o}dinger equation, Periodic wave background, Soliton",

author = "Yunqing Yang and Huanhe Dong and Yong Chen",

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year = "2021",

month = nov,

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volume = "106",

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AU - Yang, Yunqing

AU - Dong, Huanhe

AU - Chen, Yong

PY - 2021/11

Y1 - 2021/11

N2 - We construct the exact nonlinear wave solutions of the Nonlinear Schrödinger equation on the period wave background instead of on a constant background. By using Darboux–Bäcklund transformation, soliton and breather solutions on two types of cnoidal wave backgrounds are given. The density evolutions of these solutions are given under different parameters to study their wave structures and dynamical properties.

AB - We construct the exact nonlinear wave solutions of the Nonlinear Schrödinger equation on the period wave background instead of on a constant background. By using Darboux–Bäcklund transformation, soliton and breather solutions on two types of cnoidal wave backgrounds are given. The density evolutions of these solutions are given under different parameters to study their wave structures and dynamical properties.

KW - Darboux transformation

KW - Nonlinear Schrödinger equation

KW - Periodic wave background

KW - Soliton

UR - https://www.scopus.com/pages/publications/85108168754

U2 - 10.1016/j.wavemoti.2021.102787

DO - 10.1016/j.wavemoti.2021.102787

M3 - 文章

AN - SCOPUS:85108168754

SN - 0165-2125

VL - 106

JO - Wave Motion

JF - Wave Motion

M1 - 102787

ER -

Darboux–Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation

Abstract

Keywords

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