{"title":"Thermophoretic motion equation through graphene sheets: soliton-like, M-lump-like and hybrid thermophoresis in optics","authors":"Hajar Farhan Ismael, Tukur Abdulkadir Sulaiman, Harivan Rammadhan Nabi, Usman Younas","doi":"10.1007/s11082-025-08490-9","DOIUrl":null,"url":null,"abstract":"<div><p>The thermophoretic motion equation governing wrinkle propagation in substrate-supported graphene sheets is investigated. As one of the thinnest yet strongest nanoscale elastic materials, graphene has revolutionized material science with its diverse applications. Its exceptional physical and chemical properties, developed through extensive theoretical and experimental research, have made it a fundamental component in numerous electronic devices. Particularly intriguing is the study of graphene-based thermal energy conversion systems, complemented by the material’s remarkable optical characteristics. This research employs the Hirota bilinear method to derive multiple soliton solutions and M-lump-like waves, while the long-wave method is utilized to examine hybrid solutions. The physical relevance of these solutions is thoroughly explored through graphical representations that depict their behavior under specific parameter conditions. The findings confirm the reliability of the applied techniques and suggest their potential for uncovering novel solutions to nonlinear evolution equations in various scientific domains.</p></div>","PeriodicalId":720,"journal":{"name":"Optical and Quantum Electronics","volume":"57 10","pages":""},"PeriodicalIF":4.0000,"publicationDate":"2025-10-04","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://link.springer.com/article/10.1007/s11082-025-08490-9","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
The thermophoretic motion equation governing wrinkle propagation in substrate-supported graphene sheets is investigated. As one of the thinnest yet strongest nanoscale elastic materials, graphene has revolutionized material science with its diverse applications. Its exceptional physical and chemical properties, developed through extensive theoretical and experimental research, have made it a fundamental component in numerous electronic devices. Particularly intriguing is the study of graphene-based thermal energy conversion systems, complemented by the material’s remarkable optical characteristics. This research employs the Hirota bilinear method to derive multiple soliton solutions and M-lump-like waves, while the long-wave method is utilized to examine hybrid solutions. The physical relevance of these solutions is thoroughly explored through graphical representations that depict their behavior under specific parameter conditions. The findings confirm the reliability of the applied techniques and suggest their potential for uncovering novel solutions to nonlinear evolution equations in various scientific domains.
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.