{"title":"Mathematical analysis of novel soliton solutions of the space-time fractional Chen-Lee-Liu model in optical fibers communication systems","authors":"M. Nurul Islam , M. Al-Amin , M. Ali Akbar","doi":"10.1016/j.padiff.2025.101295","DOIUrl":null,"url":null,"abstract":"<div><div>The space-time fractional Chen-Lee-Liu (CLL) model is a significant optical fiber model utilized to analyze the performance of communication systems in optical fibers. It studies numerous features that may have impacts on the data transmission rates and signal excellence in optical fibers networks, nonlinearity, and noise. By developing this model, the engineers and researchers can optimize the design and performance in optical fiber communication systems. The optical solitons pulses of the CLL model are the fundamental construction block of soliton transmission technology, the telecommunication sector, and data transfer of optical fiber. In this study, we establish the significant soliton solutions which can be functional in optics of the stated model through the beta derivative employing the generalized exponential rational function technique (GERFT) which are not been investigated in the recent literature. The numerical simulations of the establishing solitons illustrates the bell-shaped, periodic, and some other soliton-like feature sand the examined shapes show the structure and influence of the fractional parameters. The results of this study exhibits that the implemented technique is efficient, reliable, and capable of establishing solutions to other complex nonlinear models in optical fiber communication systems.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101295"},"PeriodicalIF":0.0000,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818125002219","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
The space-time fractional Chen-Lee-Liu (CLL) model is a significant optical fiber model utilized to analyze the performance of communication systems in optical fibers. It studies numerous features that may have impacts on the data transmission rates and signal excellence in optical fibers networks, nonlinearity, and noise. By developing this model, the engineers and researchers can optimize the design and performance in optical fiber communication systems. The optical solitons pulses of the CLL model are the fundamental construction block of soliton transmission technology, the telecommunication sector, and data transfer of optical fiber. In this study, we establish the significant soliton solutions which can be functional in optics of the stated model through the beta derivative employing the generalized exponential rational function technique (GERFT) which are not been investigated in the recent literature. The numerical simulations of the establishing solitons illustrates the bell-shaped, periodic, and some other soliton-like feature sand the examined shapes show the structure and influence of the fractional parameters. The results of this study exhibits that the implemented technique is efficient, reliable, and capable of establishing solutions to other complex nonlinear models in optical fiber communication systems.