Dynamics of optical solitons and sensitivity analysis in fiber optics

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-11-07 DOI:10.1016/j.physleta.2024.130031

Nida Raees , Irfan Mahmood , Ejaz Hussain , Usman Younas , Hosam O. Elansary , Sohail Mumtaz

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Abstract

The nonlinear Schrödinger equation (NLSE) and its various forms have significant applications in the field of soliton theory. The Fokas-Lenells (FL) equation stands as a cornerstone in deepening our understanding of nonlinear wave dynamics within optical systems, particularly concerning the behavior of ultrashort pulses across different media. Its significance lies in providing a comprehensive framework to study and analyze complex phenomena, ultimately contributing to advancements in optical technology and applications. The FL equation is an integrable extension of the NLSE that provides a description of the nonlinear propagation of pulses in optical fiber. This paper seeks to discover optical soliton solutions for the FL equation by employing a modified sub-equation method. Additionally, the sensitivity analysis is described by using the various initial conditions. The main novelty of this paper lies in conducting a sensitivity analysis of the FL equation by examining the effects of various initial conditions, providing deeper insights into how these conditions influence the behavior of soliton solutions. For the physical behavior of the models, some solutions are graphically shown in 2D, 3D, and contour graphs by assigning specific values to the parameters under the provided situation at each solution. As a result, we discovered several new families of exact traveling wave solutions, such as bright solitons, dark solitons, and combined bright and dark solitons. This research opens numerous avenues for further exploration in the field of nonlinear wave dynamics and optical soliton theory. The discovery of exact soliton solutions for the FL equation through a modified sub-equation method paves the way for deeper investigations for newcomer researchers. The results of this study will contribute further to the field of mathematical physics, particularly in enhancing the understanding of nonlinear wave propagation and soliton theory in optical and other physical systems.

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光纤中的光孤子动力学和灵敏度分析

非线性薛定谔方程（NLSE）及其各种形式在孤子理论领域有着重要的应用。福卡斯-勒内尔斯（FL）方程是加深我们对光学系统内非线性波动力学理解的基石，特别是关于超短脉冲在不同介质中的行为。它的意义在于为研究和分析复杂现象提供了一个全面的框架，最终促进了光学技术和应用的进步。FL 方程是 NLSE 的可积分扩展，描述了脉冲在光纤中的非线性传播。本文试图采用一种改进的子方程方法来发现 FL 方程的光学孤子解。此外，本文还利用各种初始条件进行了敏感性分析。本文的主要创新之处在于通过研究各种初始条件的影响来对 FL 方程进行灵敏度分析，从而更深入地了解这些条件如何影响孤子解的行为。对于模型的物理行为，通过为每个解在所提供情况下的参数赋予特定值，以二维、三维和等值线图的形式展示了一些解。结果，我们发现了几个新的精确行波解系列，如亮孤子、暗孤子以及亮暗结合孤子。这项研究为进一步探索非线性波动力学和光学孤子理论领域开辟了众多途径。通过改进的子方程方法发现了 FL 方程的精确孤子解，为新手研究人员进行更深入的研究铺平了道路。这项研究的成果将进一步促进数学物理领域的发展，特别是加深对光学和其他物理系统中非线性波传播和孤子理论的理解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.