Diversity of soliton dynamics to (3+1)-dimensional nKdV-nCBS equation in a long wave propagation

Diversity of soliton dynamics to (3+1)-dimensional nKdV-nCBS equation in a long wave propagation | 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 Diversity of soliton dynamics to (3+1)-dimensional nKdV-nCBS equation in a long wave propagation Isma Ghulam Murtaza Isma Ghulam Murtaza, Nauman Raza Nauman Raza, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3365311/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 01 Feb, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted 8 You are reading this latest preprint version Abstract In this work, we have investigated a fascinating negative-order Korteweg-de Vries CalogeroBogoyavlenskii-Schiff equation in (3+1) dimensions, which is a collection of the Korteweg-deVries equation and the Calogero-Bogoyavlenskii-Schiff equation. It has been looked that how this model defines the interactions of long wave propagations and how it may be used in math,physics, and engineering. We have used the unified method and the singular manifold method to determine the exact traveling wave solutions to this problem. Exponential, trigonometric,rational, and hyperbolic functions are used to represent the derived traveling wave solutions.By using the traveling wave transformation, the considered nonlinear partial differential equation is transformed into an ordinary differential equation. The full derivation of the provided model using the unified methodology and singular manifold method has been added. We have supposed that the equation has a soliton solution. We have got a system of equations by arranging the resultant equations. We have extract unknown coefficients in the system using Maplesoftware and by plugging them into the original equation new soliton solutions to the equation are obtained. The findings show that the soliton solutions generated by these methods are valid. For illustrative purposes, we provide both 3-D and 2-D graphical representations. The strategy described in this research is superior to certain others that have been used to solve the same equation in the literature, according to computational findings. It demonstrates how these answers may be very helpful in comprehending physical processes in a range of applied mathematics fields. Soliton solutions (3+1) nKdV-nCBS equation Singular manifold method Unified method. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 01 Feb, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted Editorial decision: Major revision 19 Oct, 2023 Reviews received at journal 24 Sep, 2023 Reviewers agreed at journal 24 Sep, 2023 Reviewers agreed at journal 24 Sep, 2023 Reviewers invited by journal 24 Sep, 2023 Editor assigned by journal 24 Sep, 2023 Submission checks completed at journal 23 Sep, 2023 First submitted to journal 18 Sep, 2023 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-3365311","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":235537159,"identity":"3676525c-cbc9-45c1-af6c-045db27bd61d","order_by":0,"name":"Isma Ghulam Murtaza Isma Ghulam Murtaza","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVRIiWNgGAWjYBACNjiLvfngAyDFw0e8Fp5jyQYgig23YnQgkWMmgWoIDsDHfzrxw9s2GzlzoJbKrzl2MmwMzA8f3cDnMInczZJz29KMLXueld2W3ZYMdBibsXEOXi28G6R52w4nbjievO225DZmoBYeNmm8WvjPbv7N2/a/fsOBBLNiyW31RGhhyN0GtOVAgsGJFDPGj9sOE6FFIneb5ZxzyYYbzhxLlmbcdpyHjZmAX+T7z26+8abMTt7gePPBjz+3Vdvzszc/fIxPCxjwQGlmMIOZkHJkLYw/iFE9CkbBKBgFIw4AAFmcRc9ez7XFAAAAAElFTkSuQmCC","orcid":"","institution":"University of the Punjab","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Isma","middleName":"Ghulam Murtaza Isma Ghulam","lastName":"Murtaza","suffix":""},{"id":235537160,"identity":"82f9e1be-f505-44cc-9451-ec918fa36ef6","order_by":1,"name":"Nauman Raza Nauman Raza","email":"","orcid":"","institution":"University of the Punjab","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Nauman","middleName":"Raza Nauman","lastName":"Raza","suffix":""},{"id":235537161,"identity":"09b0051e-d71b-428b-a9e9-1b141be23c5c","order_by":2,"name":"Saima Arahad Saima Arshad","email":"","orcid":"","institution":"University of the Punjab","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Saima","middleName":"Arahad Saima","lastName":"Arshad","suffix":""}],"badges":[],"createdAt":"2023-09-18 09:00:27","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3365311/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3365311/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11082-024-06276-z","type":"published","date":"2024-02-01T15:01:56+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":50674667,"identity":"034ea1cc-bca7-4618-a1a1-36876a14a896","added_by":"auto","created_at":"2024-02-05 15:11:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3854496,"visible":true,"origin":"","legend":"","description":"","filename":"kdvcbs.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3365311/v1_covered_1c122cc4-a99f-4233-bb69-2d1d96ec4af6.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Diversity of soliton dynamics to (3+1)-dimensional nKdV-nCBS equation in a long wave propagation","fulltext":[],"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":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"optical-and-quantum-electronics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"oqel","sideBox":"Learn more about [Optical and Quantum Electronics](https://www.springer.com/journal/11082)","snPcode":"11082","submissionUrl":"https://submission.nature.com/new-submission/11082/3","title":"Optical and Quantum Electronics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Soliton solutions, (3+1) nKdV-nCBS equation, Singular manifold method, Unified method.","lastPublishedDoi":"10.21203/rs.3.rs-3365311/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3365311/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this work, we have investigated a fascinating negative-order Korteweg-de Vries CalogeroBogoyavlenskii-Schiff equation in (3+1) dimensions, which is a collection of the Korteweg-deVries equation and the Calogero-Bogoyavlenskii-Schiff equation. 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