New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions

New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions | 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 New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions Emad H.M. Zahran, Ahmet Bekir This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1547268/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 article, we will establish new impressive vision for the solitary solutions of Bogoyavlenskii-equation (BE) that represent the (2 + 1)-dimensional interaction of a Riemann wave propagation along definite axis along wave on the normal to it. A comparison between the achieved results from the point of view of three different mathematical analysis tool methods according to its personal profile name have been constructed. The three methods that included for this target are the Paul-Painlevé approach method (PPAM), the Ricatti-Bernoulli Sub-ODE method (RBSODM) and the third one is the variational iteration method (VIM). The three suggested methods have been implemented at the same time and parallel to detecting different new visions for the solitary wave solutions of proposed model. The BE the PPAM the RBSODM the VIM the traveling wave solutions the numerical solutions Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 23 Jun, 2022 Reviewers invited by journal 23 Jun, 2022 Editor invited by journal 15 Apr, 2022 Editor assigned by journal 15 Apr, 2022 First submitted to journal 11 Apr, 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. 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-1547268","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":115756069,"identity":"937ec269-d8df-48d6-a0d3-5c4945467630","order_by":0,"name":"Emad H.M. 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The three methods that included for this target are the Paul-Painlev\u0026eacute; approach method (PPAM), the Ricatti-Bernoulli Sub-ODE method (RBSODM) and the third one is the variational iteration method (VIM).\u003c/p\u003e \u003cp\u003eThe three suggested methods have been implemented at the same time and parallel to detecting different new visions for the solitary wave solutions of proposed model.\u003c/p\u003e","manuscriptTitle":"New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-07-01 19:18:55","doi":"10.21203/rs.3.rs-1547268/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"","date":"2022-06-23T07:31:30+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-06-23T07:24:28+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"Optical and Quantum Electronics","date":"2022-04-15T06:23:59+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2022-04-15T06:22:51+00:00","index":"","fulltext":""},{"type":"submitted","content":"Optical and Quantum Electronics","date":"2022-04-11T14:02:07+00:00","index":"","fulltext":""}],"status":"published","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}}],"origin":"","ownerIdentity":"859c1b38-5e6b-4839-8c31-1c889626e9ff","owner":[],"postedDate":"July 1st, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2022-08-16T05:06:06+00:00","versionOfRecord":[],"versionCreatedAt":"2022-07-01 19:18:55","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-1547268","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-1547268","identity":"rs-1547268","version":["v1"]},"buildId":"cBFmMYwuxLRRLfASyISRj","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}