Existence of dark solitons for Kundu-Eckhaus equations

被引：0
|
作者：
Pan, Ling [1 ,2 ]
Zhu, Shihui [1 ,2 ]
机构：
[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China
[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610066, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2025年 / 472卷
关键词：
Kundu-Eckhaus equation; Dark soliton; Dynamic system method; Geometric singular perturbation theory; Linear stability; NONLINEAR SCHRODINGER-EQUATION; TRAVELING-WAVE SOLUTIONS; EVOLUTION-EQUATIONS; OPTICAL SOLITONS; SOLITARY WAVES; SYSTEMS; BRIGHT;
D O I：
10.1016/j.physd.2025.134522
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on dark solitons and periodic solitary wave solutions for Kundu-Eckhaus equations without and with a strong generic delay, respectively. First, in terms of the dynamic system arguments, new dark solitons and periodic solitary wave solutions for the Kundu-Eckhaus equation without delay are obtained by integrating along different orbits. Then, the limits and modulation stability of the solutions of the Kundu- Eckhaus equation are investigated. Finally, the existence of two dark solitons and two periodic solitary wave solutions for Kundu-Eckhaus equations with a strong generic delays is proven via geometric singular perturbation theory.
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页数：9
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