Efficient Study on Westervelt-Type Equations to Design Metamaterials via Symmetry Analysis

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dc.authoridA. Yousif, Majeed/0000-0002-0206-3828
dc.authoridMohammed, Pshtiwan/0000-0001-6837-8075
dc.authoridDaciana Alina, Alb Lupas/0000-0002-2855-7535
dc.authoridPINAR IZGI, Zehra/0000-0002-9344-7308
dc.contributor.authorIzgi, Zehra Pinar
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorYousif, Majeed A.
dc.contributor.authorLupas, Alina Alb
dc.contributor.authorAbdelwahed, Mohamed
dc.date.accessioned2024-10-29T17:59:24Z
dc.date.available2024-10-29T17:59:24Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesien_US
dc.description.abstractMetamaterials have emerged as a focal point in contemporary science and technology due to their ability to drive significant innovations. These engineered materials are specifically designed to couple the phenomena of different physical natures, thereby influencing processes through mechanical or thermal effects. While much of the recent research has concentrated on frequency conversion into electromagnetic waves, the field of acoustic frequency conversion still faces considerable technical challenges. To overcome these hurdles, researchers are developing metamaterials with customized acoustic properties. A key equation for modeling nonlinear acoustic wave phenomena is the dissipative Westervelt equation. This study investigates analytical solutions using ansatz-based methods combined with Lie symmetries. The approach presented here provides a versatile framework that is applicable to a wide range of fields in metamaterial design.en_US
dc.description.sponsorshipUniversity of Oradea, Romaniaen_US
dc.description.sponsorshipThe publication of this research was supported by the University of Oradea, Romania.en_US
dc.identifier.doi10.3390/math12182855
dc.identifier.issn2227-7390
dc.identifier.issue18en_US
dc.identifier.scopus2-s2.0-85205114786en_US
dc.identifier.urihttps://doi.org/10.3390/math12182855
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14723
dc.identifier.volume12en_US
dc.identifier.wosWOS:001323913700001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWestervelt equationen_US
dc.subjectmetamaterialsen_US
dc.subjectansatz-based methodsen_US
dc.subjectsymmetry analysisen_US
dc.subject35CXXen_US
dc.subject35QXXen_US
dc.titleEfficient Study on Westervelt-Type Equations to Design Metamaterials via Symmetry Analysisen_US
dc.typeArticleen_US

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