{"title":"Analysis of Physical Processes of the Kudryashov-Sinelshchikov Equation with Variable Coefficients","authors":"Serbay Duran","doi":"10.1007/s10773-025-06003-8","DOIUrl":null,"url":null,"abstract":"<div><p>This study investigates the wave solutions of the Kudryashov-Sinelshchikov equation with variable coefficients and focuses on the discussion of the generated solutions within the framework of mathematical physics. The transformations of the generated wave solutions, supported by stability analysis, into shock wave profiles are analysed. The time coefficient functions contained in the equation and the effects of the parameters in the solutions are discussed by considering dispersion, diffusion and advection processes. This prominent feature of the study emphasises its difference from the studies in the literature. The results of this research enhance the scientific diversity of the solutions produced but are also expected to provide a different perspective on the solutions of nonlinear wave systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-06003-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This study investigates the wave solutions of the Kudryashov-Sinelshchikov equation with variable coefficients and focuses on the discussion of the generated solutions within the framework of mathematical physics. The transformations of the generated wave solutions, supported by stability analysis, into shock wave profiles are analysed. The time coefficient functions contained in the equation and the effects of the parameters in the solutions are discussed by considering dispersion, diffusion and advection processes. This prominent feature of the study emphasises its difference from the studies in the literature. The results of this research enhance the scientific diversity of the solutions produced but are also expected to provide a different perspective on the solutions of nonlinear wave systems.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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