Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers

preprint OA: closed CC-BY-4.0
📄 Open PDF Full text JSON View at publisher
AI-generated summary by claude@2026-07, 2026-07-14

This study analytically investigated rational solutions, including M-shaped and multiwave types, for a mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation and examined their stability.

One-sentence paraphrase of the abstract; not a substitute for reading it. No clinical advice. How this works

AI-generated deep summary by claude@2026-07, 2026-07-14 · read from full text

The preprint studies analytical rational solitons of the mixed Chen-Lee-Liu derivative nonlinear Schrödinger (MCLLNLS) equation using symbolic computation with an ansatz-function approach and a logarithmic transformation. It derives two categories of M-shaped rational solutions, visualizes their dynamics for appropriate parameter choices, computes interactions between these rational solutions and kink waves, and further evaluates other solution types including multiwave solutions, homoclinic breathers, kink cross-rational solutions, and periodic cross-rational solutions. The authors also investigate stability properties of the obtained solutions and present results in a table, with the main caveat that the work is a preprint and has not been peer reviewed. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

Read from the paper's body, not the abstract. Not a substitute for reading the paper. No clinical advice. How this works

Abstract

In this work, by applying the symbolic computation with ansatz functions approach and logarithmic transformation , we investigate the analytical rational solitons of the mixed Chen-Lee-Liu derivative nonlinear Schrödinger (MCLLNLS)-equation. We acquire two categories of M-shaped rational solutions and their dynamics are revealed in figures by choosing the proper vales of concerned parameters. Moreover two types of interaction of M-shaped rational solutions with kink wave are computed. Furthermore we evaluate multiwaves solutions, Homoclinic breather, kink cross-rational solutions and periodic cross-rational solutions for governing model. We also investigate the stability property of attained solutions and present in the form of table.
Full text 11,153 characters · extracted from preprint-html · click to expand
Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers | 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 Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers Aly R. Seadawy, Sarfaraz Ahmed, T. R. Rizvi, Kashif Nazar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2019335/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 In this work, by applying the symbolic computation with ansatz functions approach and logarithmic transformation , we investigate the analytical rational solitons of the mixed Chen-Lee-Liu derivative nonlinear Schrödinger (MCLLNLS)-equation. We acquire two categories of M-shaped rational solutions and their dynamics are revealed in figures by choosing the proper vales of concerned parameters. Moreover two types of interaction of M-shaped rational solutions with kink wave are computed. Furthermore we evaluate multiwaves solutions, Homoclinic breather, kink cross-rational solutions and periodic cross-rational solutions for governing model. We also investigate the stability property of attained solutions and present in the form of table. Rational solitons Mixed Chen-Lee-Liu derivative nonlinear Schr¨odinger equation (NLSE) Logarithmic transformations Interaction phenomen Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revision 24 Sep, 2022 Reviews received at journal 07 Sep, 2022 Reviewers agreed at journal 02 Sep, 2022 Reviewers invited by journal 02 Sep, 2022 Editor assigned by journal 02 Sep, 2022 Submission checks completed at journal 31 Aug, 2022 First submitted to journal 31 Aug, 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-2019335","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":133238620,"identity":"437b4f25-d4da-4ac2-a043-6f4fadc452d1","order_by":0,"name":"Aly R. Seadawy","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2UlEQVRIie3PsQrCMBCA4QMhdTjtelKIr5ASEME+TLtkUnCSugmFdhD3PoYgOAsZXOIuuPgAbi6CIrZuOrR1c8g33XA/lwBY1j9ywLlRTMicBbSaJcUaDU3Au7j7JZmnSnIKGyZugkIcmY7S3sW/TuMA3GwZViakUUQ5Fok3ll5uFJA5rKvPFIkmeifC66QaBE2qk75GP3mI8mFG3hslQqMECpVkhINmV3zNZkC7gDNUsxEahbV/4ftkC70nYT/TmxPGAXezVc33oS0+BqxZLznn78GyLMv69AKX3UCwMW/UggAAAABJRU5ErkJggg==","orcid":"","institution":"Taibah University","correspondingAuthor":true,"prefix":"","firstName":"Aly","middleName":"R.","lastName":"Seadawy","suffix":""},{"id":133238621,"identity":"bcd0cc53-2793-4761-903c-b0d8f7e464c8","order_by":1,"name":"Sarfaraz Ahmed","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"Sarfaraz","middleName":"","lastName":"Ahmed","suffix":""},{"id":133238622,"identity":"7391d2c7-052b-49a1-adcb-3e51b27d869a","order_by":2,"name":"T. R. Rizvi","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"T.","middleName":"R.","lastName":"Rizvi","suffix":""},{"id":133238623,"identity":"b56f4ef1-6755-4451-ab54-1a07e80669da","order_by":3,"name":"Kashif Nazar","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"Kashif","middleName":"","lastName":"Nazar","suffix":""}],"badges":[],"createdAt":"2022-08-31 20:44:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2019335/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2019335/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":25991589,"identity":"2f3adf3a-5eed-41a0-bc9c-971d665a81db","added_by":"auto","created_at":"2022-09-02 15:58:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1830555,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript193.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2019335/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-2019335/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":"optical-and-quantum-electronics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"oqel","sideBox":"Learn more about [Optical and Quantum Electronics](https://www.springer.com/journal/11082)","snPcode":"11082","submissionUrl":"https://submission.nature.com/new-submission/11082/3","title":"Optical and Quantum Electronics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Rational solitons, Mixed Chen-Lee-Liu derivative nonlinear Schr¨odinger equation (NLSE), Logarithmic transformations, Interaction phenomen","lastPublishedDoi":"10.21203/rs.3.rs-2019335/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2019335/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this work, by applying the symbolic computation with ansatz functions approach and logarithmic transformation , we investigate the analytical rational solitons of the mixed Chen-Lee-Liu derivative nonlinear Schrödinger (MCLLNLS)-equation. We acquire two categories of M-shaped rational solutions and their dynamics are revealed in figures by choosing the proper vales of concerned parameters. Moreover two types of interaction of M-shaped rational solutions with kink wave are computed. Furthermore we evaluate multiwaves solutions, Homoclinic breather, kink cross-rational solutions and periodic cross-rational solutions for governing model. We also investigate the stability property of attained solutions and present in the form of table.","manuscriptTitle":"Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-09-02 15:58:18","doi":"10.21203/rs.3.rs-2019335/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revision","date":"2022-09-24T06:17:31+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2022-09-07T09:18:04+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"25c100d3-77f5-4cd1-88ac-206d85c91d3c","date":"2022-09-02T05:49:45+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-09-02T05:11:27+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2022-09-02T05:01:08+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2022-09-01T02:30:11+00:00","index":"","fulltext":""},{"type":"submitted","content":"Optical and Quantum Electronics","date":"2022-08-31T20:32:21+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"optical-and-quantum-electronics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"oqel","sideBox":"Learn more about [Optical and Quantum Electronics](https://www.springer.com/journal/11082)","snPcode":"11082","submissionUrl":"https://submission.nature.com/new-submission/11082/3","title":"Optical and Quantum Electronics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"3f5899c6-3e61-4f8a-bf5f-09822b3fb603","owner":[],"postedDate":"September 2nd, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2022-10-13T03:59:15+00:00","versionOfRecord":[],"versionCreatedAt":"2022-09-02 15:58:18","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-2019335","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2019335","identity":"rs-2019335","version":["v1"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

Text is read by the "Ask this paper" AI Q&A widget below. Extraction quality varies by source — PMC NXML preserves structure cleanly, OA-HTML may include some navigation residue, and OA-PDF can have broken hyphenation. The publisher copy (via DOI) is the canonical version.

My notes (saved in your browser only)

Ask this paper AI returns verbatim quotes from the full text · source: preprint-html

Answers must be backed by verbatim quotes from this paper's full text. Hallucinated quotes are dropped automatically; if no verbatim passage answers the question, we say so. How this works

Citation neighborhood (no data yet)

We don't have any in-corpus citations linked to this paper yet. The paper's references may be in our DB but unresolved to ``paper_id`` (resolution happens at ingest when the cited DOI matches a row we already have). Run the cross-source citation reconcile pass to retry.

Source provenance

europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
unpaywall
last seen: 2026-05-22T02:00:06.705733+00:00
License: CC-BY-4.0