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Higher order dispersive effects in regularized Boussinesq equation

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dc.contributor.authorOruc, Goksu
dc.contributor.authorBorluk, Handan
dc.contributor.authorMuslu, Gulcin M.
dc.contributor.ituauthorMuslu, Gülçin Mihriye
dc.date.accessioned2026-01-26T05:19:29Z
dc.date.issued2017-01-01
dc.description.abstractIn this paper, we consider the higher order Boussinesq (HBq) equation which models the bi-directional propagation of longitudinal waves in various continuous media. The equation contains the higher order effects of frequency dispersion. The present study is devoted to the numerical investigation of the HBq equation. For this aim a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. The convergence of semi-discrete scheme is proved in an appropriate Sobolev space. To investigate the higher order dispersive effects and nonlinear effects on the solutions of HBq equation, propagation of single solitary wave, head-on collision of solitary waves and blow-up solutions are considered.
dc.description.urihttps://doi.org/10.1016/j.wavemoti.2016.10.005
dc.description.urihttp://arxiv.org/pdf/1501.03928
dc.description.urihttps://dx.doi.org/10.48550/arxiv.1501.03928
dc.description.urihttp://arxiv.org/abs/1501.03928
dc.description.urihttps://zbmath.org/7209867
dc.description.urihttps://dx.doi.org/10.1016/j.wavemoti.2016.10.005
dc.description.urihttps://aperta.ulakbim.gov.tr/record/44715
dc.identifier.doi10.1016/j.wavemoti.2016.10.005
dc.identifier.endpage282
dc.identifier.issn0165-2125
dc.identifier.openairedoi_dedup___::eb0ee402e33fa64b4a150b5924f0925a
dc.identifier.orcid0000-0002-0491-9562
dc.identifier.orcid0000-0003-2268-3992
dc.identifier.startpage272
dc.identifier.urihttps://hdl.handle.net/11527/62207
dc.identifier.volume68
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofWave Motion
dc.rightsOPEN
dc.subjectWater waves, gravity waves
dc.subjectdispersion and scattering, nonlinear interaction
dc.subjectSpectral methods applied to problems in fluid mechanics
dc.subjecthead-on collision of solitary waves
dc.subjectNumerical Analysis (math.NA)
dc.subjectM70, 35c07
dc.subjectKdV equations (Korteweg-de Vries equations)
dc.subjectsolitary waves
dc.subjectFOS: Mathematics
dc.subjectMathematics - Numerical Analysis
dc.subjectthe higher-order Boussinesq equation
dc.subjectFourier pseudo-spectral method
dc.subjectblow-up
dc.titleHigher order dispersive effects in regularized Boussinesq equation
dc.typeArticle
dspace.entity.typePublication
person.identifier.orcid0000-0003-2268-3992

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