啁啾周期波和自相似孤立波在非局部非线性饱和介质中的动力学行为

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-02-01 DOI:10.1016/j.chaos.2024.115819

Biren Karmakar, Niladri Ghosh, Amiya Das

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引用次数: 0

摘要

本文将非局部响应和饱和非线性纳入非线性Schrödinger方程。本文分析了饱和介质中具有竞争非局部非线性的广义非局部非线性Schrödinger方程的行波解。利用相似变换技术，导出了特定饱和介质中啁啾自相似波的解。在包含周期性分布放大的开关控制系统框架内，研究了这些自相似解的动态结构。最后，利用相平面分析和调制不稳定性分析研究了非线性波解的动力学行为。

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Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media

This paper incorporates nonlocal response and saturable nonlinearity into a nonlinear Schrödinger equation. We analyze traveling wave solutions of a generalized nonlocal nonlinear Schrödinger equation with competing nonlocal nonlinearity in saturable media. By employing the similarity transformation technique, we derive chirped self-similar wave solutions in specific saturable media. The dynamical structure of these self-similar solutions is examined within the framework of a switching control system that includes periodically distributed amplification. Finally, the dynamical behavior of the nonlinear wave solutions is investigated using phase plane analysis and modulational instability analysis.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.