Bright Soliton Behaviours of Fractal Fractional Nonlinear Good Boussinesq Equation with Nonsingular Kernels

Basit Öğe Kaydı
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridAli, Amir/0000-0002-2403-1296
dc.contributor.authorSadiq, Gulaly
dc.contributor.authorAli, Amir
dc.contributor.authorAhmad, Shabir
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:45Z
dc.date.available2024-12-24T19:33:45Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this manuscript, we investigate the nonlinear Boussinesq equation (BEQ) under fractal-fractional derivatives in the sense of the Caputo-Fabrizio and Atangana-Baleanu operators. We use the double modified Laplace transform (LT) method to determine the general series solution of the Boussinesq equation. We study the convergence, existence, uniqueness, boundedness, and stability of the solution of the considered good BEQ under the aforementioned derivatives. The obtained solutions are presented with numerical illustrations considering a particular example by two cases based on both derivatives with suitable initial conditions. The results are illustrated graphically where good agreements are obtained. Our results show that fractal-fractional derivatives are a very effective tool for studying nonlinear systems. Furthermore, when t increases, the solitary waves of the system oscillate. As the fractional order a or fractal dimension beta increases, the soliton solutions become coherently close to the exact solution. For compactness, an error analysis is performed. The absolute error reveals an approximate linear evolution in the soliton solutions as time increases and that the system does not blow up nonlinearly.
dc.description.sponsorshipFundamental Fund of Khon Kaen University, Thailand
dc.description.sponsorshipThis research was supported by the Fundamental Fund of Khon Kaen University, Thailand.
dc.identifier.doi10.3390/sym14102113
dc.identifier.issn2073-8994
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85140733095
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym14102113
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8280
dc.identifier.volume14
dc.identifier.wosWOS:000875272300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectBoussinesq equation
dc.subjectdouble Laplace transform
dc.subjectfractal-fractional operators
dc.subjectdecomposition technique
dc.titleBright Soliton Behaviours of Fractal Fractional Nonlinear Good Boussinesq Equation with Nonsingular Kernels
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu