Novel soliton solutions to the (3+1)-dimensional potential YTSF equation via generalized expoinential rational function method

Novel soliton solutions to the (3+1)-dimensional potential YTSF equation via generalized expoinential rational function method | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Novel soliton solutions to the (3+1)-dimensional potential YTSF equation via generalized expoinential rational function method Lixuan Zheng, Kunfeng Weng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6200323/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama(YTSY) equation arising in physical dynamics is investigated in this work. The geralized exponential rational function (GERF) method, an effective tool for deriving wave solutions, is applied to tackle this equation. Several new soliton wave solutions are obtained by our careful selection of suitable parameters. Additionally, the three-dimensional, two-dimensional and contour plots of these wave solutions are prensented to illustrate different travelling waves. This study further ananlyzes how the characteristics of soliton waves are influenced by the chosen parameters, a topic of profound physical relevance. Physical sciences/Mathematics and computing Physical sciences/Physics the generalized exponential rational function method potential YTSF equation traveling wave solution soliton wave Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6200323","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":433937657,"identity":"1dbbf5ad-66a7-49b6-a681-097d28ae8228","order_by":0,"name":"Lixuan Zheng","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABEklEQVRIiWNgGAWjYBACPmYowwBEfGBgZmBvADJ48GhhQ9bCOAOohecAIS0wBkgLMw9RWth5zCR+7mCwN2fvPfza5pd1Yg97A+ODt20M8uY4HcaWJtl7hoHZsudcmnVuX3piD88BZsO5bQyGOxtwaWE+JsHbxsBmcCPHzDi353DifokENmmgSILBAVxaGNsk/7Yx8Bjcf2NmbAnU0iP/gP03fi3Mx0BmShjc4DF+zPADqEUCKIhfC1uytWybhIHBmRwzxt6GdOMensRmyTnnJAw34NDCz3/G8ObbNht7g+NnjD/8+GMt28N++OCHN2U28rhsgQIJsI0SjG0gmrEBJkIQMH9g+EOUwlEwCkbBKBhhAAAse1CsYI4CsQAAAABJRU5ErkJggg==","orcid":"","institution":"Guangdong University Of Finances and Economics","correspondingAuthor":true,"prefix":"","firstName":"Lixuan","middleName":"","lastName":"Zheng","suffix":""},{"id":433937658,"identity":"84ccd6e2-860c-449e-8933-446e1a494c9f","order_by":1,"name":"Kunfeng Weng","email":"","orcid":"","institution":"Guangdong University Of Finances and Economics","correspondingAuthor":false,"prefix":"","firstName":"Kunfeng","middleName":"","lastName":"Weng","suffix":""}],"badges":[],"createdAt":"2025-03-11 05:38:19","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6200323/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6200323/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":90172210,"identity":"d0979b41-0e64-4794-960b-96eca4d65e1e","added_by":"auto","created_at":"2025-08-29 11:38:30","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1394085,"visible":true,"origin":"","legend":"","description":"","filename":"soliton.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6200323/v1_covered_cc64caa4-9239-43d6-afb9-0049582197c8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Novel soliton solutions to the (3+1)-dimensional potential YTSF equation via generalized expoinential rational function method","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"the generalized exponential rational function method, potential YTSF equation, traveling wave solution, soliton wave","lastPublishedDoi":"10.21203/rs.3.rs-6200323/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6200323/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama(YTSY) equation arising in physical dynamics is investigated in this work. 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