Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics

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dc.contributor.authorYokus, Asif
dc.contributor.authorKaya, Dogan
dc.date.accessioned2021-01-25T21:47:57Z
dc.date.available2021-01-25T21:47:57Z
dc.date.issued2020
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.description.abstractThe traveling wave solutions of the combined Korteweg de Vries-modified Korteweg de Vries (cKdV-mKdV) equation and a complexly coupled KdV (CcKdV) equation are obtained by using the auto-Backlund Transformation Method (aBTM). To numerically approximate the exact solutions, the Finite Difference Method (FDM) is used. In addition, these exact traveling wave solutions and numerical solutions are compared by illustrating the tables and figures. Via the Fourier-von Neumann stability analysis, the stability of the FDM with the cKdV-mKdV equation is analyzed. The L-2 and L-infinity norm errors are given for the numerical solutions. The 2D and 3D figures of the obtained solutions to these equations are plotted.en_US
dc.identifier.doi10.1142/S0217979220502823en_US
dc.identifier.issn0217-9792
dc.identifier.issn1793-6578
dc.identifier.issue29en_US
dc.identifier.scopus2-s2.0-85095437322en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0217979220502823
dc.identifier.urihttps://hdl.handle.net/11467/4463
dc.identifier.volume34en_US
dc.identifier.wosWOS:000599878600004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTDen_US
dc.relation.ispartofINTERNATIONAL JOURNAL OF MODERN PHYSICS Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAuto-Backlund transformation methoden_US
dc.subjectcombined Korteweg de Vries-modified Korteweg de Vries equationen_US
dc.subjectcomplexly coupled KdV equationen_US
dc.subjectFinite difference methoden_US
dc.subjectsolitary wave solutionen_US
dc.titleComparison exact and numerical simulation of the traveling wave solution in nonlinear dynamicsen_US
dc.typeArticleen_US

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