Q-Analog of Shock Soliton Solution
| dc.contributor.author | Nalcı, Şengül | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1088/1751-8113/43/44/445205 | |
| dc.date.accessioned | 2016-12-14T11:34:24Z | |
| dc.date.available | 2016-12-14T11:34:24Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | Based 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.sponsorship | TÜBİTAK and Izmir Institute of Technology | en_US |
| dc.identifier.citation | Nalcı, Ş., and Pashaev, O. (2010). Q-analog of shock soliton solution. Journal of Physics A: Mathematical and Theoretical, 43(44). doi:10.1088/1751-8113/43/44/445205 | en_US |
| dc.identifier.doi | 10.1088/1751-8113/43/44/445205 | en_US |
| dc.identifier.doi | 10.1088/1751-8113/43/44/445205 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.issn | 1751-8121 | |
| dc.identifier.scopus | 2-s2.0-78649650727 | |
| dc.identifier.uri | http://doi.org/10.1088/1751-8113/43/44/445205 | |
| dc.identifier.uri | https://hdl.handle.net/11147/2622 | |
| dc.language.iso | en | en_US |
| dc.publisher | IOP Publishing Ltd. | en_US |
| dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Special functions | en_US |
| dc.subject | Integrable systems | en_US |
| dc.subject | Solitons | en_US |
| dc.subject | Burgers equation | en_US |
| dc.title | Q-Analog of Shock Soliton Solution | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Nalcı, Şengül | |
| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 44 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 43 | en_US |
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| gdc.oaire.keywords | Nonlinear Sciences - Exactly Solvable and Integrable Systems | |
| gdc.oaire.keywords | Special functions | |
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| gdc.oaire.keywords | Exactly Solvable and Integrable Systems (nlin.SI) | |
| gdc.oaire.keywords | Solitons | |
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| gdc.oaire.keywords | Burgers equation | |
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