New rational and breather solutions of a higher-order integrable nonlinear Schrodinger equation

被引：19
|
作者：
Ma, Li-Yuan [1 ]
Zhang, Yan-Li [1 ]
Tang, Li [1 ]
Shen, Shou-Feng [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Higher-order NLS equation; Rational solutions; Breather solution; Interaction properties; WAVE SOLUTIONS; SOLITON;
D O I：
10.1016/j.aml.2021.107539
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter, we investigate the general rational solutions and breather solutions of a higher-order integrable nonlinear Schrodinger (NLS) equation based on Darboux transformation (DT). The rational solutions including W-shape traveling wave solution that is not reported and rogue wave solution are constructed. Time-periodic Kuznetsov-Ma breather, space-periodic Akhmediev breather and time-space periodic breather solutions are obtained. Besides, the interaction properties of two breather solutions are also displayed through numerical simulation. The results exhibit the new dynamical properties in extended nonlinear integrable physical models. (C) 2021 Published by Elsevier Ltd,
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页数：6
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