{"title":"Exploration of Novel Traveling Wave Solitons to the Conformable (3+1)-dimensional Wazwaz-Kaur-Boussinesq Equation","authors":"Mehmet Şenol, Behzad Ghanbari","doi":"10.1007/s10773-025-06018-1","DOIUrl":null,"url":null,"abstract":"<div><p>The article explores the conformable nonlinear Wazwaz-Kaur-Boussinesq equation in <span>\\((3+1)\\)</span>-dimensions. It begins by presenting fundamental definitions and characteristics of the conformable derivative. Subsequently, the modified generalized exponential rational function method with two different structures is employed to derive exact solutions to the problem. The results are illustrated through some 3D, 2D, and contour plots of some of the obtained solutions. In addition, sensitivity and bifurcation analysis are conducted, and some related plots have been included. These solutions highlight the potential applications of the studied model in physical sciences to address real-world scenarios. The method demonstrates its ability to solve a wide range of fractional differential equations with significant results.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-05-19","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/s10773-025-06018-1","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
The article explores the conformable nonlinear Wazwaz-Kaur-Boussinesq equation in \((3+1)\)-dimensions. It begins by presenting fundamental definitions and characteristics of the conformable derivative. Subsequently, the modified generalized exponential rational function method with two different structures is employed to derive exact solutions to the problem. The results are illustrated through some 3D, 2D, and contour plots of some of the obtained solutions. In addition, sensitivity and bifurcation analysis are conducted, and some related plots have been included. These solutions highlight the potential applications of the studied model in physical sciences to address real-world scenarios. The method demonstrates its ability to solve a wide range of fractional differential equations with significant results.
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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