Soliton waves with optical solutions to the three-component coupled nonlinear Schrödinger equation

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Karmina K. Ali, Abdullahi Yusuf
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引用次数: 0

Abstract

This study uses the modified Sardar sub-equation method to find novel soliton solutions to the nonlinear three-component coupled nonlinear Schrödinger equation (NLSE), which is used for pulse propagation in nonlinear optical fibers. Multi-component NLSE equations are widely used because they can represent a wide range of complex observable systems and more dynamic patterns of localized wave solutions. The optical solutions proposed in this study are novel and can be described using hyperbolic, trigonometric, and exponential functions. These solutions are categorized as bright, dark, singular, combo bright-singular, and periodic solutions. Some solutions’ dynamic behaviors are demonstrated by selecting appropriate physical parameter values. The results and computational analysis indicate that the techniques provided are simple, effective, and adaptable. They can be applied to a variety of nonlinear evolution equations, whether stable or unstable, and can be used in fields such as mathematics, mathematical physics, and applied sciences.
三分量耦合非线性薛定谔方程光学解的孤子波
本研究采用改进的萨达尔子方程法,为非线性三分量耦合非线性薛定谔方程(NLSE)寻找新的孤子解,该方程用于非线性光纤中的脉冲传播。多分量非线性薛定谔方程可以表示各种复杂的可观测系统和更具动态的局部波解模式,因此被广泛应用。本研究提出的光学解决方案非常新颖,可使用双曲函数、三角函数和指数函数进行描述。这些解法分为亮解法、暗解法、奇异解法、组合亮奇异解法和周期解法。通过选择适当的物理参数值,展示了一些解的动态行为。结果和计算分析表明,所提供的技术简单、有效、适应性强。它们可应用于各种非线性演化方程,无论是稳定方程还是不稳定方程,并可用于数学、数学物理和应用科学等领域。
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
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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