Exact solution of perturbed Kdv equation with variable dissipation coefficient

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2018-06-22T13:09:00Z
dc.date.available2018-06-22T13:09:00Z
dc.date.issued2017
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn the present work we study the integrability condition for a variable coefficient Korteweg-deVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables in such a way that the variable coefficient KdV equation reduces to the perturbed KdV equation with variable dissipation coefficient. Then, we apply the homogeneous balance (HB) method to this perturbed KdV equation to examine the integrability condition for this equation. The analysis reveals that if the dissipation coefficient function has a special structure the variable coefficient KdV equation is integrable. The progressive wave solution of evolution equation shows that the solution is unbounded and the wave amplitude decreases with time, which is to be expected from physical considerations.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2017). Exact solution of perturbed Kdv equation with variable dissipation coefficient. Applied and Computational Mathematics, 16(1), 12-16.en_US
dc.identifier.endpage16
dc.identifier.issn1683-3511
dc.identifier.issn1683-6154
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85015096362
dc.identifier.scopusqualityQ1
dc.identifier.startpage12
dc.identifier.urihttps://hdl.handle.net/11729/1316
dc.identifier.volume16
dc.identifier.wosWOS:000394921000002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherMinistry Communicatios & High Technologies Republic Azerbaijanen_US
dc.relation.ispartofApplied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectVariable coefficient korteweg-devries equationen_US
dc.subjectProgressive wavesen_US
dc.subjectDe-vries equationen_US
dc.subjectAuto-backlund transformationen_US
dc.subjectPower-law nonlinearityen_US
dc.subjectConservation-lawsen_US
dc.subjectRlw equationen_US
dc.subjectWavesen_US
dc.subjectSolitonsen_US
dc.titleExact solution of perturbed Kdv equation with variable dissipation coefficienten_US
dc.typeArticleen_US
dspace.entity.typePublication

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