Breathers and rogue waves for the fourth-order nonlinear Schrödinger equation

Yan Zhang; Yinping Liu; Xiaoyan Tang

doi:10.1515/zna-2016-0438

Breathers and rogue waves for the fourth-order nonlinear Schrödinger equation

Yan Zhang, Yinping Liu^*, Xiaoyan Tang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

3 Scopus citations

Abstract

In this article, a generalized Darboux transformation for the fourth-order nonlinear Schrödinger equation is constructed in terms of Darboux matrix method. Subsequently, breathers and the Nth-order rogue wave solutions of this equation are explicitly given in the light of the obtained Darboux transformation. Finally, we concretely discuss the dynamics of the obtained rogue waves, which are also demonstrated by some figures.

Original language	English
Pages (from-to)	339-344
Number of pages	6
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	72
Issue number	4
DOIs	https://doi.org/10.1515/zna-2016-0438
State	Published - 1 Apr 2017

Keywords

Breathers
Fourth-order nonlinear Schrödinger equation
Generalized darboux transformation
Rogue waves

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abstract = "In this article, a generalized Darboux transformation for the fourth-order nonlinear Schr{\"o}dinger equation is constructed in terms of Darboux matrix method. Subsequently, breathers and the Nth-order rogue wave solutions of this equation are explicitly given in the light of the obtained Darboux transformation. Finally, we concretely discuss the dynamics of the obtained rogue waves, which are also demonstrated by some figures.",

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AU - Liu, Yinping

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N2 - In this article, a generalized Darboux transformation for the fourth-order nonlinear Schrödinger equation is constructed in terms of Darboux matrix method. Subsequently, breathers and the Nth-order rogue wave solutions of this equation are explicitly given in the light of the obtained Darboux transformation. Finally, we concretely discuss the dynamics of the obtained rogue waves, which are also demonstrated by some figures.

AB - In this article, a generalized Darboux transformation for the fourth-order nonlinear Schrödinger equation is constructed in terms of Darboux matrix method. Subsequently, breathers and the Nth-order rogue wave solutions of this equation are explicitly given in the light of the obtained Darboux transformation. Finally, we concretely discuss the dynamics of the obtained rogue waves, which are also demonstrated by some figures.

KW - Breathers

KW - Fourth-order nonlinear Schrödinger equation

KW - Generalized darboux transformation

KW - Rogue waves

UR - https://www.scopus.com/pages/publications/85016950960

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DO - 10.1515/zna-2016-0438

M3 - 文章

AN - SCOPUS:85016950960

SN - 0932-0784

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EP - 344

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 4

ER -

Breathers and rogue waves for the fourth-order nonlinear Schrödinger equation

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Keywords

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