Unveiling complexity: Exploring chaos and solitons in modified nonlinear Schrödinger equation

被引：5
作者：
Wang, Pengfei [1 ]
Yin, Feng [1 ]
Rahman, Mati ur [2 ,3 ]
Khan, Meraj Ali [4 ]
Baleanu, Dumitru [3 ]
机构：
[1] Xinzhou Normal Univ, Math Dept, Xinzhou 034000, Shanxi, Peoples R China
[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
[4] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 65892, Riyadh 11566, Angola
来源：
RESULTS IN PHYSICS | 2024年 / 56卷
关键词：
Schrodinger equation; Galilean transformation; Bifurcation;
D O I：
10.1016/j.rinp.2023.107268
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This study delves deep into the complexities of the modified nonlinear Schrodinger equation. Through the Galilean transformation, we derive a dynamic system linked to the equation. Using planar dynamical systems theory, we investigate bifurcation phenomena and introduce perturbations to reveal chaotic behaviors. Phase portraits offer visual insights, while sensitivity analysis using the Runge-Kutta method emphasizes solution stability against initial condition variations. Leveraging the planar dynamical system method, we generate diverse solitons, including periodic, bright, and dark solitons. This work enhances our grasp of intricate dynamics and their broader implications.
引用
收藏
页数：8
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