Numerous Chirped and Optical Solitons for Cubic Nonlinear Schrödinger Equation with Kerr Nonlinearity and Beta Derivatives

Numerous Chirped and Optical Solitons for Cubic Nonlinear Schrödinger Equation with Kerr Nonlinearity and Beta Derivatives | 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 Numerous Chirped and Optical Solitons for Cubic Nonlinear Schrödinger Equation with Kerr Nonlinearity and Beta Derivatives Abdulmalik A. Altwaty This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4511253/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This work explores new optical and chirped optical solitons for the space-time fractional cubic nonlinear Schrödinger equation (NLFSEs) in the presence of Kerr law nonlinearity, utilizing the new extended auxiliary equation approach. The solutions show a wide range of behaviors within the system and are stated in terms of trigonometric and hyperbolic functions. A broad range of phenomena is displayed by the several varieties of optical and chirped optical solitons that have been found, including dark, bright, kink, and periodic. A better knowledge of solution creation and properties may be attained by representing 2D and 3D graphs with different values of parameters. the fractional cubic nonlinear Schrödinger equation Kerr law nonlinearity beta derivative Chirped optical solitons the new extended auxiliary equation method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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-4511253","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":312437006,"identity":"87a0ef5c-3898-4611-9359-4c39e0a6f1d7","order_by":0,"name":"Abdulmalik A. 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