{"title":"Localised waves and dynamical behaviours of analytical solutions to \\((3+1)\\)-dimensional YTSF model in mathematical physics","authors":"Yajun Du, Jing Pang","doi":"10.1007/s12043-025-02902-x","DOIUrl":null,"url":null,"abstract":"<div><p>This article focusses on the <span>\\((3+1)\\)</span>-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) model, which is a type of physical model with complex and nonlinear characteristics describing wave propagation in a medium. By using the technique of generalised exponential rational function (GERF), different types of analytical solutions are obtained successfully, including exponential rational solutions, hyperbolic solutions and trigonometric solutions. Subsequently, their dynamic behaviours and temporal-spatial evolutions are investigated through the visualisation of partial solutions. In addition, we discuss the significance of these findings to comprehend nonlinear wave phenomena and outline the future research directions.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-025-02902-x","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
This article focusses on the \((3+1)\)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) model, which is a type of physical model with complex and nonlinear characteristics describing wave propagation in a medium. By using the technique of generalised exponential rational function (GERF), different types of analytical solutions are obtained successfully, including exponential rational solutions, hyperbolic solutions and trigonometric solutions. Subsequently, their dynamic behaviours and temporal-spatial evolutions are investigated through the visualisation of partial solutions. In addition, we discuss the significance of these findings to comprehend nonlinear wave phenomena and outline the future research directions.
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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