Darboux transformation of a new generalized nonlinear Schrodinger equation: soliton solutions, breather solutions, and rogue wave solutions

被引：15

作者：

Tang, Yaning ^{[1
]}

He, Chunhua ^{[1
]}

Zhou, Meiling ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 92卷 / 04期

关键词：

Generalized nonlinear Schrodinger equation; Darboux transformation; Soliton solutions; Breather solutions; Rogue wave solutions; MODULATION INSTABILITY; PULSE-PROPAGATION; OPTICAL-FIBER; SYSTEM;

D O I：

10.1007/s11071-018-4178-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new generalized nonlinear Schrodinger (GNLS) equation is investigated by Darboux matrix method. Firstly, the n-fold Darboux transformation (DT) of the GNLS equation is constructed. Then, the soliton solutions, breather solutions, and rogue wave solutions of the GNLS equation are studied based on the DT by choosing different seed solutions. Furthermore, the dynamic features of these solutions are explicitly delineated through some figures with the help of Maple software.

引用

页码：2023 / 2036

页数：14

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