{"title":"Novel dispersive soliton solutions to a fractional nonlinear Schrödinger equation related with ultrashort pulses","authors":"Nursena Günhan Ay, Emrullah Yaşar","doi":"10.1007/s12043-023-02573-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is crucial in fibre optics, is discussed. The equation models propagation of light in optical fibres when ultrashort pulses are generated. In order to explain the physical phenomena, beta, conformable and <i>M</i>-truncated fractional derivative operators are considered. Exact solutions were sought using the extended modified auxiliary equation mapping method (EMAEM). Three-dimensional (3D) and two-dimensional (2D) graphics were designed for each fractional derivative operator of several solutions corresponding to various fractional order values. These graphics were used to study the behaviour of the solutions for conformable, beta and <i>M</i>-truncated fractional derivative operators and to make significant comparisons.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02573-6.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-023-02573-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is crucial in fibre optics, is discussed. The equation models propagation of light in optical fibres when ultrashort pulses are generated. In order to explain the physical phenomena, beta, conformable and M-truncated fractional derivative operators are considered. Exact solutions were sought using the extended modified auxiliary equation mapping method (EMAEM). Three-dimensional (3D) and two-dimensional (2D) graphics were designed for each fractional derivative operator of several solutions corresponding to various fractional order values. These graphics were used to study the behaviour of the solutions for conformable, beta and M-truncated fractional derivative operators and to make significant comparisons.
期刊介绍：
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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