Rogue wave solutions and modulation instability for the mixed nonlinear Schrodinger equation

被引：14
|
作者：
Liu, Ya-Hui [1 ]
Guo, Rui [1 ]
Li, Xing-Lan [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 121卷
基金：
山西省青年科学基金; 中国国家自然科学基金;
关键词：
The mixed nonlinear Schrodinger equation; Darboux transformation; Rogue wave solutions; Semi-rational solutions; Modulation instability;
D O I：
10.1016/j.aml.2021.107450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Via Darboux transformation (DT) algorithm, rogue wave and semi-rational solutions of the mixed nonlinear Schrodinger equation (MNLSE) will be derived. Meanwhile, the dynamic features of those solutions will be graphically analyzed. In addition, the modulation instability (MI) of the MNLSE will be discussed and it will be found that the existence range of rogue waves is strictly consistent with the zero frequency modulation instability region. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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