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

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	339-344
页数	6
期刊	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
卷	72
期	4
DOI	https://doi.org/10.1515/zna-2016-0438
出版状态	已出版 - 1 4月 2017

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title = "Breathers and rogue waves for the fourth-order nonlinear Schr{\"o}dinger equation",

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

AU - Tang, Xiaoyan

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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

U2 - 10.1515/zna-2016-0438

DO - 10.1515/zna-2016-0438

M3 - 文章

AN - SCOPUS:85016950960

SN - 0932-0784

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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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