Transition of the breather wave of six-order nonlinear Schrodinger equation

被引：5
|
作者：
Zhou, Xin-Mei [1 ,2 ]
Zhang, Tian-Tian [1 ,2 ]
Zhu, Chenghao [3 ]
Chen, Yi-Ren [4 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China
[3] China Univ Min & Technol, Sch Chem Engn & Technol, Xuzhou 221226, Jiangsu, Peoples R China
[4] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 131卷
关键词：
The six-order nonlinear Schrodinger equation; Darboux transformation; Breather solution; Transformed nonlinear wave; SOLITON DYNAMICS;
D O I：
10.1016/j.aml.2022.108072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the dynamic properties of the transformed nonlinear waves of the six-order nonlinear Schrodinger equation. The breather wave of the equation is obtained based on the Darboux transformation. In order to study the state transition, we give the transition conditions of the breather wave. Based on this transition condition, the breather wave is transformed into various types of nonlinear waves, including W-shaped solitons, M-shaped solitons, multi-peak solitons, oscillation solitons, etc. Furthermore, the oscillation properties of these transformed nonlinear waves are analyzed. Finally, these transformed nonlinear waves are graphically presented. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：7
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