Diversity of solitary wave structures in Kerr media: Analyzing the complex paraxial wave equation in fiber optic communication systems

IF 5.9 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2025-10-14 DOI:10.1016/j.asej.2025.103763

U. Younas , J. Muhammad , H.F. Ismael , Tukur Abdulkadir Sulaiman , Homan Emadifar , Karim K. Ahmed

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Abstract

This study explores the paraxial nonlinear Schrödinger equation in Kerr media, a key model for optical fiber systems. Complex wave transformations reduce the model to a nonlinear ODE, enabling the generation of diverse solutions: bright, dark, bright-dark, and combined solitons, alongside periodic, hyperbolic, and exponential wave structures. Three novel techniques, namely the modified Riccati extended simple equation, the modified generalized exponential rational function, and the multivariate generalized exponential rational integral function methods, are used to find the solutions. Using symbolic computation tools like Mathematica, the generated soliton solutions have been confirmed by substituting them back into various relevant systems. Moreover, a variety of figures as well as their dynamics are included for the different parametric values. The proposed methods offer efficient and reliable approximations, demonstrating their utility for exploring complex nonlinear wave propagation and advancing higher-dimensional nonlinear science.

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克尔介质中孤立波结构的多样性：分析光纤通信系统中复杂的近轴波方程

本文研究了光纤系统关键模型Kerr介质中的近轴非线性Schrödinger方程。复杂的波变换将模型简化为非线性ODE，从而能够生成多种解决方案：亮、暗、亮-暗和组合孤子，以及周期、双曲和指数波结构。采用了修正Riccati扩展简单方程法、修正广义指数有理函数法和多元广义指数有理积分函数法求解。使用像Mathematica这样的符号计算工具，生成的孤子解已经通过将它们代入各种相关系统中得到确认。此外，还包含了不同参数值的各种图形及其动态。所提出的方法提供了有效和可靠的近似，证明了它们在探索复杂非线性波传播和推进高维非线性科学方面的实用性。

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

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.