Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2622
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dc.contributor.authorNalcı, Şengül-
dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2016-12-14T11:34:24Z-
dc.date.available2016-12-14T11:34:24Z-
dc.date.issued2010-11-
dc.identifier.citationNalcı, Ş., and Pashaev, O. (2010). Q-analog of shock soliton solution. Journal of Physics A: Mathematical and Theoretical, 43(44). doi:10.1088/1751-8113/43/44/445205en_US
dc.identifier.issn1751-8113-
dc.identifier.issn1751-8121-
dc.identifier.urihttp://doi.org/10.1088/1751-8113/43/44/445205-
dc.identifier.urihttp://hdl.handle.net/11147/2622-
dc.description.abstractBased on Jackson's q-exponential function, we introduce a q-analog of Hermite and Kampe de Feriet polynomials. It allows us to introduce and solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary number of moving zeros, and to find an operator solution for the initial value problem. By the q-analog of Cole-Hopf transformation we find a new q-Burgers-type nonlinear heat equation with cubic nonlinearity, such that in the q → 1 limit it reduces to the standard Burgers equation. We construct exact solutions for the q-Burgers equation in the form of moving poles, singular and regular q-shock soliton solutions. A novel, self-similarity property of the stationary q-shock soliton solution is found. © 2010 IOP Publishing Ltd.en_US
dc.description.sponsorshipTÜBİTAK and Izmir Institute of Technologyen_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.ispartofJournal of Physics A: Mathematical and Theoreticalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSpecial functionsen_US
dc.subjectIntegrable systemsen_US
dc.subjectSolitonsen_US
dc.subjectBurgers equationen_US
dc.titleQ-analog of shock soliton solutionen_US
dc.typeArticleen_US
dc.authoridTR57807en_US
dc.authoridTR57865en_US
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume43en_US
dc.identifier.issue44en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1088/1751-8113/43/44/445205-
dc.relation.doi10.1088/1751-8113/43/44/445205en_US
dc.coverage.doi10.1088/1751-8113/43/44/445205en_US
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.grantfulltextopen-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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