Investigation of the Davey-Stewartson excitation in a plasma with Fermi-Dirac distributed electrons

Investigation of the Davey-Stewartson excitation in a plasma with Fermi-Dirac distributed electrons | 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 Investigation of the Davey-Stewartson excitation in a plasma with Fermi-Dirac distributed electrons Mohsen Mohammadnejad, Alireza Abdikian, Masoud Akbari-Moghanjoughi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3990829/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 In this research a comprehensive investigation of ion acoustic waves within plasma environments, utilizing the Fermi-Dirac electron distribution is presented. The reductive perturbation technique is used to derive the three-dimensional Davey-Stewartson equation and analytical solutions are found in Jacobi elliptic cnoidal and solitary traveling wave forms. The dynamic behaviors of the solutions are then analyzed and studied parametrically. It is believed that current research can significantly contribute to present understanding of nonlinear wave behavior in multispecies warm and dense plasma systems and can have diverse applications to astrophysical and laboratory plasmas. Our investigation using a detailed numerical analysis, focuses on the impact of the generalized Equation of State (EoS) for Fermi-Dirac electron-ion plasma with three-dimensional Davey-Stewartson solutions with in-depth analysis of the modulation instability of the ion acoustic excitations. Current study incorporates variety of plasma parameters, such as the normalized chemical potential and electron temperature, also exploring electron number density effect on the wide range electron density-temperature regime. This work advances current understanding of traveling wave solution behavior, the modulation stability affected by the propagation angle, and the instability growth rate providing a comprehensive insight into ion acoustic wave dynamics in plasmas. 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. 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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-3990829","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":275515791,"identity":"a00b7ed0-2a91-4be6-8f0a-a5541d7cd858","order_by":0,"name":"Mohsen Mohammadnejad","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCklEQVRIiWNgGAWjYJACZgiVwMAg2cDA2M/AwEailpkNJGlhBGrZcICAFt0G7sTHBTXbovnbcw8+sNxhJ7v5RvKzBx8qGOT5xQ5g1WJ2gHez8Yxjt3NnnHmXbCB5Jtl42400c8MZZxgMZ85OwKVlmzQP2+3chhs5ZhKSbcyJ224kmEnztjEkGNzGp+Xf7dz5N3LMf0i21SdunpH+jbAW3rbbuRuAtjBIth1O3CCRQ9CWzca8fbdzN555Ywx02HHjGWfelEnOOCOBzy8bH/N8u50773iO4WfJtmrZ/vb0bRIfKmzk+aWxa2GQf4BgM0uASAGwSgnsytEB4wcQyX+AONWjYBSMglEwYgAAn7Jl/uYDJIkAAAAASUVORK5CYII=","orcid":"","institution":"Azarbaijan Shahid Madani University","correspondingAuthor":true,"prefix":"","firstName":"Mohsen","middleName":"","lastName":"Mohammadnejad","suffix":""},{"id":275515792,"identity":"75fc91da-bc06-4e3b-843b-ab7b20a063e7","order_by":1,"name":"Alireza Abdikian","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Alireza","middleName":"","lastName":"Abdikian","suffix":""},{"id":275515793,"identity":"332eecd8-e206-4f2d-a0ac-eada0cfd12f9","order_by":2,"name":"Masoud Akbari-Moghanjoughi","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Masoud","middleName":"","lastName":"Akbari-Moghanjoughi","suffix":""}],"badges":[],"createdAt":"2024-02-26 11:49:26","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3990829/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3990829/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":51897886,"identity":"ea658ecb-f97f-416d-a789-ba8e399130b2","added_by":"auto","created_at":"2024-03-02 12:28:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":740903,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3990829/v1_covered_421b04c6-40f6-4b0f-a512-e249b3fda6db.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Investigation of the Davey-Stewartson excitation in a plasma with Fermi-Dirac distributed electrons","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"","lastPublishedDoi":"10.21203/rs.3.rs-3990829/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3990829/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this research a comprehensive investigation of ion acoustic waves within plasma environments, utilizing the Fermi-Dirac electron distribution is presented. 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Current study incorporates variety of plasma parameters, such as the normalized chemical potential and electron temperature, also exploring electron number density effect on the wide range electron density-temperature regime. 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