Higher-Order Localized Waves in Coupled Nonlinear Schrodinger Equations

Higher-order localized waves in coupled nonlinear Schr6dinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue...

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Bibliographic Details
Published inChinese physics letters Vol. 31; no. 9; pp. 1 - 4
Main Author 王鑫 杨波 陈勇 杨云青
Format Journal Article
LanguageEnglish
Published 01.09.2014
Subjects
Darboux变换
三角形
动力学行为
本地化
耦合系统
耦合非线性薛定谔方程
非线性波
高阶
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/31/9/090201

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Summary:Higher-order localized waves in coupled nonlinear Schr6dinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamentM or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.
Bibliography:Higher-order localized waves in coupled nonlinear Schr6dinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamentM or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.
11-1959/O4
WANG Xin, YANG Bo, CHEN Yong, YANG Yun-Qing（1.Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062; 2.School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004）
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/9/090201