Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations

Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations | 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 Higher-order soliton, breather, the mixed localized wave solutions for the coupled modified Korteweg-de Vries equations Yi-Xin Chen, Yufeng Wang, Xi Zhang, YiDi Zhao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5733052/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 30 Jan, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted 13 You are reading this latest preprint version Abstract Under investigation in this paper is the coupled modified Korteweg-de Vries equations. Based on Lax pair and Darboux transformation, three-soliton and two-breather solutions are derived and analyzed. And the mixed localized wave solutions are constructed through the modified Darboux transformation. Especially, the interaction solutions between rogue wave and one-breather are constructed. These results in the present work could be used to understand related physical phenomena in nonlinear optics and relevant fields. Coupled modified Korteweg-de Vries equations Vector localized wave Dynamical behavior Darboux transformation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 30 Jan, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 07 Jan, 2025 Reviews received at journal 07 Jan, 2025 Reviewers agreed at journal 07 Jan, 2025 Reviews received at journal 06 Jan, 2025 Reviewers agreed at journal 06 Jan, 2025 Reviewers agreed at journal 06 Jan, 2025 Reviewers agreed at journal 06 Jan, 2025 Reviewers agreed at journal 06 Jan, 2025 Reviewers agreed at journal 06 Jan, 2025 Reviewers invited by journal 06 Jan, 2025 Editor assigned by journal 06 Jan, 2025 Submission checks completed at journal 31 Dec, 2024 First submitted to journal 30 Dec, 2024 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. 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