Travelling thermal and heat waves in nonlinear phonon hydrodynamics

Travelling thermal and heat waves in nonlinear phonon hydrodynamics | 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Article Travelling thermal and heat waves in nonlinear phonon hydrodynamics Michele Sciacca This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7239159/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 6 You are reading this latest preprint version Abstract In this paper we deal with a nonlinear generalization of the Guyer-Krumhansl (GK) equation applied to cylindrical nanowires for exploring the existence of nonlinear travelling waves. In the moving frame of reference the GK equation may be written in terms of the Riccati equation, which leads to some nonlinear exact solutions. These solutions are analyzed as candidates for the transmission of thermal signals along nanosystems. Finally, a linear stability analysis of the equation is carried out. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 31 Jan, 2026 Reviewers agreed at journal 09 Jan, 2026 Reviewers invited by journal 22 Aug, 2025 Editor assigned by journal 05 Aug, 2025 Submission checks completed at journal 31 Jul, 2025 First submitted to journal 29 Jul, 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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