A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

Yan Zhang; Yinping Liu; Xiaoyan Tang

doi:10.1007/s11071-017-3621-z

A general integrable three-component coupled nonlocal 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

26 Scopus citations

Abstract

In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.

Original language	English
Pages (from-to)	2729-2738
Number of pages	10
Journal	Nonlinear Dynamics
Volume	89
Issue number	4
DOIs	https://doi.org/10.1007/s11071-017-3621-z
State	Published - 1 Sep 2017

Keywords

Darboux transformation
Soliton solution
Three-component coupled nonlocal nonlinear Schrödinger equation

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title = "A general integrable three-component coupled nonlocal nonlinear Schr{\"o}dinger equation",

abstract = "In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schr{\"o}dinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.",

keywords = "Darboux transformation, Soliton solution, Three-component coupled nonlocal nonlinear Schr{\"o}dinger equation",

author = "Yan Zhang and Yinping Liu and Xiaoyan Tang",

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N2 - In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.

AB - In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.

KW - Darboux transformation

KW - Soliton solution

KW - Three-component coupled nonlocal nonlinear Schrödinger equation

UR - https://www.scopus.com/pages/publications/85021185993

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DO - 10.1007/s11071-017-3621-z

M3 - 文章

AN - SCOPUS:85021185993

SN - 0924-090X

VL - 89

SP - 2729

EP - 2738

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

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Keywords

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