{"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.
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.