New self-similar Jacobi rational and polynomial waves in inhomogeneous two-mode fibers: Exact solutions of generalized coupled NLSEs modified

IF 3.1 3区 物理与天体物理 Q2 Engineering
Optik Pub Date : 2025-09-30 DOI:10.1016/j.ijleo.2025.172551
Emmanuel Yomba
{"title":"New self-similar Jacobi rational and polynomial waves in inhomogeneous two-mode fibers: Exact solutions of generalized coupled NLSEs modified","authors":"Emmanuel Yomba","doi":"10.1016/j.ijleo.2025.172551","DOIUrl":null,"url":null,"abstract":"<div><div>We investigate self-similar periodic and solitary waves in inhomogeneous two-mode fibers governed by a generalized variable-coefficient coupled nonlinear Schrödinger system with ten independent coefficients that account for asymmetric dispersion, Kerr nonlinearities, linear gain/loss, and external potentials in each mode. A constructive similarity transformation maps the variable-coefficient equations to a constant-coefficient pair, yielding explicit relations for the similarity variables, amplitudes, and phases. On the reduced system, an F-expansion framework produces five solvable families of exact solutions classified as rational and polynomial Jacobi-type periodic waves, together with their existence constraints and dispersion relations. The Jacobi families continuously connect to localized states—bright, dark, kink/antikink, and W-shaped solitons—in the elliptic-modulus limit. Mapping back provides chirped self-similar solutions of the original inhomogeneous model. Using prototype dispersion and gain/loss profiles, we quantify pulse energy, width, and chirp to track periodic-to-soliton transitions under parameter modulation. The results substantially enlarge the known solution space for vector NLSEs beyond symmetric, few-coefficient settings and offer analytic control knobs—via the engineered coefficient landscapes—for amplitude, width, and phase, with relevance to pulse shaping and robust transmission in fiber systems.</div></div>","PeriodicalId":19513,"journal":{"name":"Optik","volume":"339 ","pages":"Article 172551"},"PeriodicalIF":3.1000,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optik","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030402625003390","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0

Abstract

We investigate self-similar periodic and solitary waves in inhomogeneous two-mode fibers governed by a generalized variable-coefficient coupled nonlinear Schrödinger system with ten independent coefficients that account for asymmetric dispersion, Kerr nonlinearities, linear gain/loss, and external potentials in each mode. A constructive similarity transformation maps the variable-coefficient equations to a constant-coefficient pair, yielding explicit relations for the similarity variables, amplitudes, and phases. On the reduced system, an F-expansion framework produces five solvable families of exact solutions classified as rational and polynomial Jacobi-type periodic waves, together with their existence constraints and dispersion relations. The Jacobi families continuously connect to localized states—bright, dark, kink/antikink, and W-shaped solitons—in the elliptic-modulus limit. Mapping back provides chirped self-similar solutions of the original inhomogeneous model. Using prototype dispersion and gain/loss profiles, we quantify pulse energy, width, and chirp to track periodic-to-soliton transitions under parameter modulation. The results substantially enlarge the known solution space for vector NLSEs beyond symmetric, few-coefficient settings and offer analytic control knobs—via the engineered coefficient landscapes—for amplitude, width, and phase, with relevance to pulse shaping and robust transmission in fiber systems.
非均匀双模光纤中新的自相似雅可比有理波和多项式波:修正广义耦合nlse的精确解
我们研究了由广义变系数耦合非线性Schrödinger系统控制的非均匀双模光纤中的自相似周期波和孤立波,该系统具有十个独立系数,可以解释每个模式中的不对称色散、克尔非线性、线性增益/损耗和外部电位。构造相似变换将变系数方程映射到常系数对,产生相似变量、振幅和相位的显式关系。在约化系统上,一个f展开框架产生了5个可解的精确解族,这些精确解族分为有理和多项式雅可比型周期波,以及它们的存在约束和色散关系。Jacobi族在椭圆模极限下连续连接到局部状态——亮、暗、扭结/反扭结和w形孤子。反向映射提供了原始非齐次模型的啁啾自相似解。利用原型色散和增益/损耗曲线,我们量化了脉冲能量、宽度和啁啾,以跟踪参数调制下周期性到孤子的转变。结果大大扩大了矢量nlse的已知解空间,超越了对称、低系数设置,并通过工程系数景观提供了振幅、宽度和相位的分析控制旋涡,与光纤系统中的脉冲整形和鲁棒传输相关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Optik
Optik 物理-光学
CiteScore
6.90
自引率
12.90%
发文量
1471
审稿时长
46 days
期刊介绍: Optik publishes articles on all subjects related to light and electron optics and offers a survey on the state of research and technical development within the following fields: Optics: -Optics design, geometrical and beam optics, wave optics- Optical and micro-optical components, diffractive optics, devices and systems- Photoelectric and optoelectronic devices- Optical properties of materials, nonlinear optics, wave propagation and transmission in homogeneous and inhomogeneous materials- Information optics, image formation and processing, holographic techniques, microscopes and spectrometer techniques, and image analysis- Optical testing and measuring techniques- Optical communication and computing- Physiological optics- As well as other related topics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信