Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere

Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere | 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 Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere N S Alharthi, R E Tolba This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2041318/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 7 You are reading this latest preprint version Abstract The non-linear propagation of different kinds of ion-acoustic waves (IAWs) in multi-component plasma involving proton beam, positive ions and isothermal electrons has been studied. Using the derivative expansion method of basic equations, namely the hydrodynamic and Poisson equations, they are reduced to a single evolution equation of the non-linear Schrödinger (NLS) equation. By applying this model to plasma formed in Earth’s magnetosphere, different waves can be predicted that express the properties of the plasma. Using the separating variables method and the G /G-expansion method, we derived the exact analytical solutions to the evolution equation by using different solution regions in which non-linear waves are defined. A comparison has been made between the solutions describing the differential equation in each region in which the solution can appear using the data on the Earth’s magnetosphere in the study by Alotaibi et al. (2021). soliton wave explosive pulses compacton waves Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revision 05 Oct, 2022 Reviews received at journal 30 Sep, 2022 Reviewers agreed at journal 20 Sep, 2022 Reviewers invited by journal 20 Sep, 2022 Editor assigned by journal 07 Sep, 2022 Submission checks completed at journal 07 Sep, 2022 First submitted to journal 07 Sep, 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-2041318","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":134904085,"identity":"e73975f1-427a-44fb-916d-0f9da3fd9223","order_by":0,"name":"N S Alharthi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7ElEQVRIiWNgGAWjYHACxsMg0oCZ+TCEf4AIPSClEgbMbMmkamHgMSZOizn/4QeHC2ru1Zmz83w2+NnGIMd3I4H5ww88WixnpBkcnnGsWMKymXdzYm8bg7HkjQQ2yR48WgxuMBgc5mFLkDA4zLv5AG8bQ+IGoBYGHnxazh//cJjnH0gLz+ODf9sY6oFamD/+waflQA7Q/DawFuZkoC0JBjcSGKTx2nIjp+Awb1+C5IbDbMbGMuckDGeeedgmLYPfYRsf83xL4Dc4f/ix5JsyG3m+48mHP77BowUdSAAxYwMJGkbBKBgFo2AUYAMAokZPRtZcfpUAAAAASUVORK5CYII=","orcid":"","institution":"King Abdulaziz University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"N","middleName":"S","lastName":"Alharthi","suffix":""},{"id":134904086,"identity":"9d45eaa9-7474-4f80-88c8-659e8a8afe3e","order_by":1,"name":"R E Tolba","email":"","orcid":"","institution":"The British University in Egypt (BUE)","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"R","middleName":"E","lastName":"Tolba","suffix":""}],"badges":[],"createdAt":"2022-09-07 10:59:19","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2041318/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2041318/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":26274886,"identity":"8e05a653-2cac-4e73-8f8c-855f7c709afe","added_by":"auto","created_at":"2022-09-09 17:36:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":774092,"visible":true,"origin":"","legend":"","description":"","filename":"ThemanuscriptAstrophysicsandSpaceScience.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2041318/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-2041318/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"astrophysics-and-space-science","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"astr","sideBox":"Learn more about [Astrophysics and Space Science](https://www.springer.com/journal/10509)","snPcode":"10509","submissionUrl":"https://submission.nature.com/new-submission/10509/3","title":"Astrophysics and Space Science","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"soliton wave, explosive pulses, compacton waves","lastPublishedDoi":"10.21203/rs.3.rs-2041318/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2041318/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The non-linear propagation of different kinds of ion-acoustic waves (IAWs) in multi-component plasma involving proton beam, positive ions and isothermal electrons has been studied. Using the derivative expansion method of basic equations, namely the hydrodynamic and Poisson equations, they are reduced to a single evolution equation of the non-linear Schrödinger (NLS) equation. By applying this model to plasma formed in Earth’s magnetosphere, different waves can be predicted that express the properties of the plasma. Using the separating variables method and the G /G-expansion method, we derived the exact analytical solutions to the evolution equation by using different solution regions in which non-linear waves are defined. A comparison has been made between the solutions describing the differential equation in each region in which the solution can appear using the data on the Earth’s magnetosphere in the study by Alotaibi et al. (2021).","manuscriptTitle":"Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-09-09 17:36:30","doi":"10.21203/rs.3.rs-2041318/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revision","date":"2022-10-05T04:29:37+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2022-09-30T15:55:11+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"a61618f2-028a-45e6-9c11-13974f47dbd6","date":"2022-09-20T06:49:25+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-09-20T06:24:13+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2022-09-07T19:54:36+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2022-09-07T15:06:56+00:00","index":"","fulltext":""},{"type":"submitted","content":"Astrophysics and Space Science","date":"2022-09-07T10:46:59+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"astrophysics-and-space-science","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"astr","sideBox":"Learn more about [Astrophysics and Space Science](https://www.springer.com/journal/10509)","snPcode":"10509","submissionUrl":"https://submission.nature.com/new-submission/10509/3","title":"Astrophysics and Space Science","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"5fe18e9d-f284-4d5c-b1a7-7953d0f8804e","owner":[],"postedDate":"September 9th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2022-11-09T16:29:30+00:00","versionOfRecord":[],"versionCreatedAt":"2022-09-09 17:36:30","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-2041318","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2041318","identity":"rs-2041318","version":["v1"]},"buildId":"-HB7Z8yhvgn0wM9Nzuekk","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}