Localized interaction solutions of the (2+1)-dimensional Ito Equation

Localized interaction solutions of the (2+1)-dimensional Ito 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 Original Research Localized interaction solutions of the (2+1)-dimensional Ito Equation Hongcai Ma, Hanfang Wu, Wenxiu Ma, Aiping Deng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-206644/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 2 You are reading this latest preprint version Abstract Localized interaction solutions of the (2+1)-dimensional Ito equation with free parameters are obtained by using a Hirota bilinear transformation. Various plots with particular choices of the involved parameters are made to show energy distributions and dynamical properties of the special exact solutions. This phenomenon may provide us with interesting information on dynamics in the higher-dimensional nonlinear world. Optics/Lasers Mathematical and Theoretical Biology Mathematical Physics (2+1)-dimensional Ito equation Lump solution Interaction solution Soliton Hirota’s bilinear method Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Full Text Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the manuscript can be downloaded and accessed as a PDF. Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 02 Feb, 2021 First submitted to journal 19 Jan, 2021 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-206644","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Original Research","associatedPublications":[],"authors":[{"id":10311742,"identity":"e5975640-af8f-4f9d-adb3-89ba8848fa92","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":10311743,"identity":"9f009437-437c-40a1-bdeb-e8b46635eb86","order_by":1,"name":"Hanfang Wu","email":"","orcid":"","institution":"Donghua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Hanfang","middleName":"","lastName":"Wu","suffix":""},{"id":10311744,"identity":"11ddac7e-14e2-4dfc-9244-deeaf8720f0f","order_by":2,"name":"Wenxiu Ma","email":"","orcid":"","institution":"University of South Florida","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Wenxiu","middleName":"","lastName":"Ma","suffix":""},{"id":10311745,"identity":"74db11d0-ec0c-4dac-990b-d4edc46f4f44","order_by":3,"name":"Aiping Deng","email":"","orcid":"","institution":"Donghua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Aiping","middleName":"","lastName":"Deng","suffix":""}],"badges":[],"createdAt":"2021-02-04 06:21:47","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-206644/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-206644/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":5906689,"identity":"54ed0018-fff1-4437-b2a5-1ba68e6cb9cd","added_by":"auto","created_at":"2021-02-12 17:06:02","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":345815,"visible":true,"origin":"","legend":"Spatiotemporal structure of solution u with the parameter selections (a):t = 2; 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