Peakon, Periodic Peakons, Compactons and Bifurcations of nonlinear Schrödinger's Equation with Kudryashov's Law of Refractive Index

被引：0
|
作者：
Zhang, Qiuyan [1 ,2 ]
Zhou, Yuqian [1 ]
Li, Jibin [1 ,3 ,4 ]
Yu, Mengke [1 ]
机构：
[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China
[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2024年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Solitary wave solution; Peakon; Periodic peakon; Compacton; Bifurcation; Nonlinear Schrodinger's equation; Kudryashov's law; SHALLOW-WATER EQUATION; SCHRODINGERS EQUATION; OPTICAL SOLITONS; POWER-LAW;
D O I：
10.1007/s44198-024-00184-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the nonlinear Schrodinger's equation with Kudryashov's law of refractive index. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including peakon, periodic peakon, solitary wave solutions and compactons) under different parameter conditions.
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页数：16
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