Numerical behaviour and solution of travelling wave and superposition of two solitary waves of the nonlinear KdV-Kawahara equation

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dc.authorid0000-0001-8500-493X
dc.contributor.authorBashan, Ali
dc.date.accessioned2026-02-08T15:14:55Z
dc.date.available2026-02-08T15:14:55Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn the present manuscript, the fifth-order nonlinear Korteweg-de Vries-Kawahara (KdV-Kawahara) equation including two dispersion terms is going to be handled. For the solution process, both finite difference and quadrature differential methods are used. The newly obtained results are important due to two aspects. First, they are better than those of most available ones. The second and most important, the results are found at the low cost of computational efforts. These important aspects ensure that they can also be applied to a wide range of problems encountered in various fields of applied sciences. Moreover, the computed results get closer to the exact ones when the step sizes refine. Travelling single solitary wave and the superposition of two solitary waves solutions are obtained numerically. A comparison of the numerical results shows that present algorithm by contribution of the two numerical methods obtained higher accurate solutions successfully.
dc.identifier.doi10.1007/s00025-025-02565-5
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105022802910
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00025-025-02565-5
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5484
dc.identifier.volume81
dc.identifier.wosWOS:001621563800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofResults in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzWOS_KA_20260207
dc.subjectFinite difference method
dc.subjectDifferential quadrature method
dc.subjectKdV-Kawahara equation
dc.subjectConvergence
dc.titleNumerical behaviour and solution of travelling wave and superposition of two solitary waves of the nonlinear KdV-Kawahara equation
dc.typeArticle

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