State transition dynamics of double-hump bright soliton in the coupled derivative Schrödinger equation

State transition dynamics of double-hump bright soliton in the coupled derivative Schrödinger equation | 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 State transition dynamics of double-hump bright soliton in the coupled derivative Schrödinger equation Jin-Peng Yang, Yan-Hong Qin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7436277/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 30 Sep, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted 18 You are reading this latest preprint version Abstract Dated: August 22, 2025) We study double-hump bright solitons in a two-component coupled derivative nonlinear Schrödinger equation relevant to plasma physics. Using the Darboux transformation, we derive exact solutions and classify their intensity profiles. Notably, collisions between double-hump and single-hump bright solitons convert the former into breather-like states. Asymptotic analysis reveals that this transition results from energy mixing between the two components of the DHBS, with the oscillation period governed by its width parameters. We further analyze multiple collisions involving double-hump and single-hump solitons in two distinct velocity configurations. These collisions lead to interactions either between two breather-like states or between a breather-like state and an single-hump soliton, that have not been reported previously. A systematic asymptotic analysis of multi-soliton collisions is provided using Laplace’s theorem and the Vandermonde determinant, allowing explicit derivation of pre-and post-collision soliton states and precise characterization of their initial and final conditions. These rich collision dynamics suggest promising avenues for controlled excitation in plasma physics and ultrashort pulse manipulation. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 30 Sep, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 01 Sep, 2025 Reviews received at journal 31 Aug, 2025 Reviewers agreed at journal 31 Aug, 2025 Reviews received at journal 30 Aug, 2025 Reviewers agreed at journal 30 Aug, 2025 Reviewers agreed at journal 29 Aug, 2025 Reviewers agreed at journal 29 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers invited by journal 28 Aug, 2025 Editor assigned by journal 28 Aug, 2025 Submission checks completed at journal 26 Aug, 2025 First submitted to journal 22 Aug, 2025 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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