Wael W. Mohammed, Naveed Iqbal, S. Bourazza, Elsayed M. Elsayed
{"title":"The optical structures for the fractional chiral nonlinear Schrödinger equation with time-dependent coefficients","authors":"Wael W. Mohammed, Naveed Iqbal, S. Bourazza, Elsayed M. Elsayed","doi":"10.1007/s11082-024-06800-1","DOIUrl":null,"url":null,"abstract":"<p>In this paper, the fractional Chiral nonlinear Schrödinger equation with time-dependent coefficients (FCNSE-TDCs) is considered. The mapping method is applied in order to get hyperbolic, elliptic, trigonometric and rational fractional solution. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optics, plasma physics and nonlinear quantum mechanics. Finally, the influence of the time-dependent coefficients and the conformable fractional derivative order on the exact solutions of the FCNSE-TDCs is presented.</p>","PeriodicalId":720,"journal":{"name":"Optical and Quantum Electronics","volume":null,"pages":null},"PeriodicalIF":3.3000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11082-024-06800-1","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the fractional Chiral nonlinear Schrödinger equation with time-dependent coefficients (FCNSE-TDCs) is considered. The mapping method is applied in order to get hyperbolic, elliptic, trigonometric and rational fractional solution. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optics, plasma physics and nonlinear quantum mechanics. Finally, the influence of the time-dependent coefficients and the conformable fractional derivative order on the exact solutions of the FCNSE-TDCs is presented.
期刊介绍:
Optical and Quantum Electronics provides an international forum for the publication of original research papers, tutorial reviews and letters in such fields as optical physics, optical engineering and optoelectronics. Special issues are published on topics of current interest.
Optical and Quantum Electronics is published monthly. It is concerned with the technology and physics of optical systems, components and devices, i.e., with topics such as: optical fibres; semiconductor lasers and LEDs; light detection and imaging devices; nanophotonics; photonic integration and optoelectronic integrated circuits; silicon photonics; displays; optical communications from devices to systems; materials for photonics (e.g. semiconductors, glasses, graphene); the physics and simulation of optical devices and systems; nanotechnologies in photonics (including engineered nano-structures such as photonic crystals, sub-wavelength photonic structures, metamaterials, and plasmonics); advanced quantum and optoelectronic applications (e.g. quantum computing, memory and communications, quantum sensing and quantum dots); photonic sensors and bio-sensors; Terahertz phenomena; non-linear optics and ultrafast phenomena; green photonics.