Dynamics of Ion Cyclotron Wave under Perturbed Environment using Physics Informed Neural Networks

Dynamics of Ion Cyclotron Wave under Perturbed Environment using Physics Informed Neural Networks | 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 Dynamics of Ion Cyclotron Wave under Perturbed Environment using Physics Informed Neural Networks Gautam Kumar Saharia, Sagardeep Talukdar, Riki Dutta, Sudipta Nandy This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8651617/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 We apply Physics Informed Neural Networks (PINN) to study the dynamics of ion cyclotron waves in plasma in a perturbed environment. We investigate the propagation of bright one-soliton solutions under three different physical conditions: linear damping in collisionless plasma and collisional plasma, and thermal fluctuations of the magnetic field. We investigated evolution of the soliton by analyzing its dynamical behavior in terms of amplitude, energy, and momentum. For linear damping, both in collisional and collisionless plasma environments, the soliton dynamics were found to be irreversible, characterized by exponential decay of both energy and momentum. In contrast, under thermal fluctuations of the magnetic field, the soliton remains stable as the total energy and amplitude are conserved on average. We also demonstrate that PINN achieves an accuracy comparable to the inverse scattering transform method, while being significantly simpler to implement. Source codes are available at https://github.com/gautamksaharia/pFLE physics informed neural network Landau damping stochastic perturbation soliton dynamics 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-8651617","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":579712714,"identity":"443f5f52-e2b3-4ae6-9c5d-28e15df03481","order_by":0,"name":"Gautam Kumar Saharia","email":"data:image/png;base64,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","orcid":"","institution":"Cotton University","correspondingAuthor":true,"prefix":"","firstName":"Gautam","middleName":"Kumar","lastName":"Saharia","suffix":""},{"id":579712715,"identity":"36931028-573e-4137-9ccc-2fb992f8b6da","order_by":1,"name":"Sagardeep Talukdar","email":"","orcid":"","institution":"Cotton University","correspondingAuthor":false,"prefix":"","firstName":"Sagardeep","middleName":"","lastName":"Talukdar","suffix":""},{"id":579712716,"identity":"881b2abc-e299-44f1-b19d-834516a06bf3","order_by":2,"name":"Riki Dutta","email":"","orcid":"","institution":"Cotton University","correspondingAuthor":false,"prefix":"","firstName":"Riki","middleName":"","lastName":"Dutta","suffix":""},{"id":579712720,"identity":"3e241781-f9cc-48a9-b640-6567853277d7","order_by":3,"name":"Sudipta Nandy","email":"","orcid":"","institution":"Cotton University","correspondingAuthor":false,"prefix":"","firstName":"Sudipta","middleName":"","lastName":"Nandy","suffix":""}],"badges":[],"createdAt":"2026-01-20 17:26:25","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-8651617/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8651617/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":101881733,"identity":"7787e46b-ef62-4e59-9ba2-8867f6f2c0fe","added_by":"auto","created_at":"2026-02-04 15:15:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":608058,"visible":true,"origin":"","legend":"","description":"","filename":"NonlinearDynamicsPaper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8651617/v1_covered_d0917250-6805-4391-b5cc-96da154e4150.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamics of Ion Cyclotron Wave under Perturbed Environment using Physics Informed Neural Networks","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"physics informed neural network, Landau damping, stochastic perturbation, soliton dynamics","lastPublishedDoi":"10.21203/rs.3.rs-8651617/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8651617/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe apply Physics Informed Neural Networks (PINN) to study the dynamics of ion cyclotron waves in plasma in a perturbed environment. We investigate the propagation of bright one-soliton solutions under three different physical conditions: linear damping in collisionless plasma and collisional plasma, and thermal fluctuations of the magnetic field. We investigated evolution of the soliton by analyzing its dynamical behavior in terms of amplitude, energy, and momentum. For linear damping, both in collisional and collisionless plasma environments, the soliton dynamics were found to be irreversible, characterized by exponential decay of both energy and momentum. In contrast, under thermal fluctuations of the magnetic field, the soliton remains stable as the total energy and amplitude are conserved on average. We also demonstrate that PINN achieves an accuracy comparable to the inverse scattering transform method, while being significantly simpler to implement. Source codes are available at \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://github.com/gautamksaharia/pFLE\u003c/span\u003e\u003cspan address=\"https://github.com/gautamksaharia/pFLE\" targettype=\"URL\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/p\u003e","manuscriptTitle":"Dynamics of Ion Cyclotron Wave under Perturbed Environment using Physics Informed Neural Networks","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-01-27 11:24:38","doi":"10.21203/rs.3.rs-8651617/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"582d17b7-e596-430c-ac7e-ac37e49e0a18","owner":[],"postedDate":"January 27th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-02-03T23:23:44+00:00","versionOfRecord":[],"versionCreatedAt":"2026-01-27 11:24:38","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8651617","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8651617","identity":"rs-8651617","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}