Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation

Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation | 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 Research Article Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation hongcai ma, Yidan Gao, Aiping Deng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1999521/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract In this paper, the research object is (2+1)-dimensional KdVSKR equation. After adding new constraint, new solutions which contain y-type molecules are obtained. The process of lump molecules and y-type molecules before and after the collision is studied by long-wave limit method, and the kinetic behavior analysis is given. The interactions between y-type molecules and resonant soliton molecules, y-type molecules and breather molecules are obtained by combining velocity resonance method and mode resonance method, respectively. Finally, a novel hybrid solution containing lump molecule, breather molecule and y-type molecule is given, and the kinetic behavior is shown. novel y-type solution (2+1)-dimensional Korteweg-de Vries Sawada-Kotera-Ramani equation fission solution fusion solution hybrid solution Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 06 Sep, 2022 Reviewers invited by journal 06 Sep, 2022 Editor assigned by journal 05 Sep, 2022 First submitted to journal 28 Aug, 2022 Editorial decision: Major revisions 26 Aug, 2022 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. 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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-1999521","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":134531807,"identity":"39e72e08-e2ae-4248-9cd6-536b2c8b297a","order_by":0,"name":"hongcai ma","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA30lEQVRIiWNgGAWjYBACAwglwcDA3gNm8fARr4XnDAPDASDFRqQWkK4csBYGglrM2XsPv/hRYxHNP/Ptwccfc+xk2BiYHz66gUeLZc+5NMueYxK5M27nJRsc3JYMdBibsXEOPofdyDEzZmCTyG24nWMmcXAbM1ALD5s0YS3/JHLn3zwD0lJPlBbjx4xtErkbbvCAtBwmQsuZM2aMvX0SuRvP5BgbnN12nIeNmZBfjvcYf/jxrS533vEzhg8qt1Xb87M3P3yMTwsQsEmg8pnxKwcr+UBYzSgYBaNgFIxoAAAjFkjvKaj3oAAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-8759-5032","institution":"Donghua University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"hongcai","middleName":"","lastName":"ma","suffix":""},{"id":134531808,"identity":"d3be5344-d656-48b2-a938-1e662711533f","order_by":1,"name":"Yidan Gao","email":"","orcid":"","institution":"Donghua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yidan","middleName":"","lastName":"Gao","suffix":""},{"id":134531809,"identity":"58ec72e6-5a9a-4927-b7c6-b243bd0cb23b","order_by":2,"name":"Aiping Deng","email":"","orcid":"","institution":"Donghua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Aiping","middleName":"","lastName":"Deng","suffix":""}],"badges":[],"createdAt":"2022-08-26 00:10:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1999521/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1999521/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":26272580,"identity":"01f466fd-00f7-49fd-b0ac-fc2723e27975","added_by":"auto","created_at":"2022-09-09 17:22:48","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":869197,"visible":true,"origin":"","legend":"","description":"","filename":"NovelytypeandhybridsolutionsforKdVSKRequation.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1999521/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1999521/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"novel y-type solution, (2+1)-dimensional Korteweg-de Vries Sawada-Kotera-Ramani equation, fission solution, fusion solution, hybrid solution","lastPublishedDoi":"10.21203/rs.3.rs-1999521/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1999521/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, the research object is (2+1)-dimensional KdVSKR equation. 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