Darboux transformation and explicit solutions for 2+1-dimensional nonlocal Schrödinger equation

Yan Zhang; Yinping Liu

doi:10.1016/j.aml.2018.12.014

Darboux transformation and explicit solutions for 2+1-dimensional nonlocal Schrödinger 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

Darboux transformation for the 2+1-dimensional nonlocal Schrödinger equation is constructed by the Darboux matrix method. As applications, solitons, periodic waves and complexion solutions of the considered equation are obtained. In particular, the dynamics of these solutions are discussed and illustrated through some figures.

Original language	English
Pages (from-to)	29-34
Number of pages	6
Journal	Applied Mathematics Letters
Volume	92
DOIs	https://doi.org/10.1016/j.aml.2018.12.014
State	Published - Jun 2019

Keywords

Complexion solution
Darboux transformation
Periodic wave
Soliton

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10.1016/j.aml.2018.12.014

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title = "Darboux transformation and explicit solutions for 2+1-dimensional nonlocal Schr{\"o}dinger equation",

abstract = "Darboux transformation for the 2+1-dimensional nonlocal Schr{\"o}dinger equation is constructed by the Darboux matrix method. As applications, solitons, periodic waves and complexion solutions of the considered equation are obtained. In particular, the dynamics of these solutions are discussed and illustrated through some figures.",

keywords = "Complexion solution, Darboux transformation, Periodic wave, Soliton",

author = "Yan Zhang and Yinping Liu",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2019",

month = jun,

doi = "10.1016/j.aml.2018.12.014",

language = "英语",

volume = "92",

pages = "29--34",

journal = "Applied Mathematics Letters",

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T1 - Darboux transformation and explicit solutions for 2+1-dimensional nonlocal Schrödinger equation

AU - Zhang, Yan

AU - Liu, Yinping

PY - 2019/6

Y1 - 2019/6

N2 - Darboux transformation for the 2+1-dimensional nonlocal Schrödinger equation is constructed by the Darboux matrix method. As applications, solitons, periodic waves and complexion solutions of the considered equation are obtained. In particular, the dynamics of these solutions are discussed and illustrated through some figures.

AB - Darboux transformation for the 2+1-dimensional nonlocal Schrödinger equation is constructed by the Darboux matrix method. As applications, solitons, periodic waves and complexion solutions of the considered equation are obtained. In particular, the dynamics of these solutions are discussed and illustrated through some figures.

KW - Complexion solution

KW - Darboux transformation

KW - Periodic wave

KW - Soliton

UR - https://www.scopus.com/pages/publications/85059854852

U2 - 10.1016/j.aml.2018.12.014

DO - 10.1016/j.aml.2018.12.014

M3 - 文章

AN - SCOPUS:85059854852

SN - 0893-9659

VL - 92

SP - 29

EP - 34

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Darboux transformation and explicit solutions for 2+1-dimensional nonlocal Schrödinger equation

Abstract

Keywords

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