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On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

dc.contributor.authorYang, Xiao-Jun
dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorCattani, Carlo
dc.date.accessioned2017-01-26T15:10:24Z
dc.date.embargo2117-08
dc.date.issued2016
dc.description.abstractThis paper investigates the Korteweg-de Vries equation within the scope of the local fractional derivative formulation. The exact traveling wave solutions of non-differentiable type with the generalized functions defined on Cantor sets are analyzed. The results for the non-differentiable solutions when fractal dimension is 1 are also discussed. It is shown that the exact solutions for the local fractional Korteweg-de Vries equation characterize the fractal wave on shallow water surfaces.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttp://dx.doi.org/10.1063/1.4960543pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9448
dc.language.isoengpt_PT
dc.publisherAIP Publishingpt_PT
dc.relation.ispartofseriesChaos: An Interdisciplinary Journal of Nonlinear Science;Vol. 26, Issue 8
dc.relation.publisherversionhttp://aip.scitation.org/doi/10.1063/1.4960543pt_PT
dc.subjectExact solutionspt_PT
dc.subjectFractalspt_PT
dc.subjectSurface wavespt_PT
dc.subjectNavier Stokes equationspt_PT
dc.subjectLaplace equationspt_PT
dc.titleOn exact traveling-wave solutions for local fractional Korteweg-de Vries equationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage6pt_PT
oaire.citation.issue8pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleChaos: An Interdisciplinary Journal of Nonlinear Sciencept_PT
oaire.citation.volume26pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsembargoedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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