Stability and spin solitonic dynamics of the HFSC model: effects of neighboring interactions and crystal field anisotropy parameters

Stability and spin solitonic dynamics of the HFSC model: effects of neighboring interactions and crystal field anisotropy parameters | 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 Stability and spin solitonic dynamics of the HFSC model: effects of neighboring interactions and crystal field anisotropy parameters Zahidul Islam, Md. Abu Naim Sheikh, Harun-Or Roshid, M. A. Hossain, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3370642/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 14 Dec, 2023 Read the published version in Optical and Quantum Electronics → Version 1 posted 7 You are reading this latest preprint version Abstract This research investigates spin dynamic solitonic wave solutions in the (2 + 1)-dimensional Heisenberg Ferromagnetic Spin Chains model. The unified and simple equation schemes are used to integrate the model. Through the technique, various properties of wave nature, such as Dark bell envelope soliton, Bright bell envelope soliton, periodic wave envelope, Kink shape envelope soliton, periodic wave envelope soliton, oscillating wave, harmonically oscillating wave, oscillating wave with increasing and decreasing amplitude waves, sudden increasing of amplitude and sudden decrease to a particular amplitude wave oscillations, are achieved from the solutions. The effects of changing neighboring interaction and uniaxial crystal field anisotropy parameters on the obtained soliton and its amplitudes are explored. The changing values of neighboring interaction parameters are exhibited as an increase in wave height with increasing parametric values, but increasing the values of the uniaxial crystal field anisotropy parameter causes a reduction in wave height. In the mean time, we see that the real part of the same solution exhibits periodic oscillation while the effects of the parameters have the same increasing and decreasing effects. Analysis of odulation stability found due to small change as perturbation solution of the model. All shapes are illustrated in 3D and 2D plots. The Heisenberg Ferromagnetic Spin Chains model the unified technique simple equation method spin soliton envelope soliton Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 14 Dec, 2023 Read the published version in Optical and Quantum Electronics → Version 1 posted Editorial decision: Major revision 17 Oct, 2023 Reviews received at journal 06 Oct, 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 19 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-3370642","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":235540113,"identity":"113ee63a-0d98-4596-8ce1-003a240fe85f","order_by":0,"name":"Zahidul Islam","email":"","orcid":"","institution":"Dhaka University of Engineering and Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Zahidul","middleName":"","lastName":"Islam","suffix":""},{"id":235540115,"identity":"b7185d80-08f0-4fe0-b428-b172f21158e1","order_by":1,"name":"Md. 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