Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrodinger equation

被引：150
|
作者：
Li, Bang-Qing [2 ]
Ma, Yu-Lan [1 ]
机构：
[1] Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China
[2] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 386卷
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
Extended generalized Darboux transformation; Nonlinear Schrodinger system; Breather; Rogue wave; Hybrid wave solution; HIGHER-ORDER; CONSERVATION-LAWS; SOLITON-SOLUTIONS; OPTICAL SOLITONS; DYNAMICS; SYSTEM; IMPACT; EVEN; ODD;
D O I：
10.1016/j.amc.2020.125469
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extended generalized Darboux transformation method is proposed to construct the hybrid rogue wave and breather solutions for a classical nonlinear Schrodinger equation. Three types of hybrid wave solutions are obtained: (i) the hybrid first-order rogue wave and breather; (ii) the hybrid second-order rogue wave and first-order breather; (iii) the hybrid first-order rogue wave and second-order breather. These solutions are novel and can be used to investigate the dynamical characteristic of the hybrid rogue waves and breathers. The control and interaction based on the parameters of the hybrid wave solution are graphically demonstrated. An exact link is established between the hybrid solutions and the rogue wave solutions via setting the parameter at special value. (C) 2020 Elsevier Inc. All rights reserved.
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页数：20
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