Breather and lump solutions for nonlocal Davey–Stewartson II equation

Yan Zhang; Yinping Liu

doi:10.1007/s11071-019-04777-1

Breather and lump solutions for nonlocal Davey–Stewartson II equation

Yan Zhang
, Yinping Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

17 Scopus citations

Abstract

A binary Darboux transformation for the nonlocal Davey–Stewartson II equation is constructed by the Darboux matrix method. As applications, N-soliton, breather and lump solutions of the considered equation have been obtained. In particular, the dynamics of the single soliton, two-soliton, breather and lump solutions are discussed and illustrated through some figures.

Original language	English
Pages (from-to)	107-113
Number of pages	7
Journal	Nonlinear Dynamics
Volume	96
Issue number	1
DOIs	https://doi.org/10.1007/s11071-019-04777-1
State	Published - 1 Apr 2019

Keywords

Binary Darboux transformation
Breather solution
Lump solution

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10.1007/s11071-019-04777-1

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title = "Breather and lump solutions for nonlocal Davey–Stewartson II equation",

abstract = "A binary Darboux transformation for the nonlocal Davey–Stewartson II equation is constructed by the Darboux matrix method. As applications, N-soliton, breather and lump solutions of the considered equation have been obtained. In particular, the dynamics of the single soliton, two-soliton, breather and lump solutions are discussed and illustrated through some figures.",

keywords = "Binary Darboux transformation, Breather solution, Lump solution",

author = "Yan Zhang and Yinping Liu",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature B.V.",

year = "2019",

month = apr,

day = "1",

doi = "10.1007/s11071-019-04777-1",

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AU - Zhang, Yan

AU - Liu, Yinping

PY - 2019/4/1

Y1 - 2019/4/1

N2 - A binary Darboux transformation for the nonlocal Davey–Stewartson II equation is constructed by the Darboux matrix method. As applications, N-soliton, breather and lump solutions of the considered equation have been obtained. In particular, the dynamics of the single soliton, two-soliton, breather and lump solutions are discussed and illustrated through some figures.

AB - A binary Darboux transformation for the nonlocal Davey–Stewartson II equation is constructed by the Darboux matrix method. As applications, N-soliton, breather and lump solutions of the considered equation have been obtained. In particular, the dynamics of the single soliton, two-soliton, breather and lump solutions are discussed and illustrated through some figures.

KW - Binary Darboux transformation

KW - Breather solution

KW - Lump solution

UR - https://www.scopus.com/pages/publications/85062592611

U2 - 10.1007/s11071-019-04777-1

DO - 10.1007/s11071-019-04777-1

M3 - 文章

AN - SCOPUS:85062592611

SN - 0924-090X

VL - 96

SP - 107

EP - 113

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1

ER -

Breather and lump solutions for nonlocal Davey–Stewartson II equation

Abstract

Keywords

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