Damped Parametric Oscillator and Exactly Solvable Complex Burgers Equations
| dc.contributor.author | Atılgan Büyükaşık, Şirin | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1088/1742-6596/343/1/012020 | |
| dc.date.accessioned | 2017-02-23T11:10:15Z | |
| dc.date.available | 2017-02-23T11:10:15Z | |
| dc.date.issued | 2012 | |
| dc.description | 7th International Conference on Quantum Theory and Symmetries, QTS7; Prague; Czech Republic; 7 August 2011 through 13 August 2011 | en_US |
| dc.description.abstract | We obtain exact solutions of a parametric Madelung fluid model with dissipation which is linearazible in the form of Schrödinger equation with time variable coefficients. The corresponding complex Burgers equation is solved by a generalized Cole-Hopf transformation and the dynamics of the pole singularities is described explicitly. In particular, we give exact solutions for variable parametric Madelung fluid and complex Burgers equations related with the Sturm-Liouville problems for the classical Hermite, Laguerre and Legendre type orthogonal polynomials. | en_US |
| dc.description.sponsorship | TUBITAK Project No: 110T679 | en_US |
| dc.identifier.citation | Atılgan Büyükaşık, Ş., and Pashaev, O. (2012). Damped parametric oscillator and exactly solvable complex Burgers equations. Journal of Physics: Conference Series, 343. doi:10.1088/1742-6596/343/1/012020 | en_US |
| dc.identifier.doi | 10.1088/1742-6596/343/1/012020 | |
| dc.identifier.doi | 10.1088/1742-6596/343/1/012020 | en_US |
| dc.identifier.issn | 1742-6588 | |
| dc.identifier.issn | 1742-6596 | |
| dc.identifier.issn | 1742-6588 | |
| dc.identifier.scopus | 2-s2.0-84858271583 | |
| dc.identifier.uri | http://doi.org/10.1088/1742-6596/343/1/012020 | |
| dc.identifier.uri | https://hdl.handle.net/11147/4891 | |
| dc.language.iso | en | en_US |
| dc.publisher | IOP Publishing Ltd. | en_US |
| dc.relation.ispartof | Journal of Physics: Conference Series | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Partial differential equations | en_US |
| dc.subject | Burgers equation | en_US |
| dc.subject | Orthogonal polynomials | en_US |
| dc.subject | Exact solutions | en_US |
| dc.subject | Time variable | en_US |
| dc.title | Damped Parametric Oscillator and Exactly Solvable Complex Burgers Equations | en_US |
| dc.type | Conference Object | en_US |
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| gdc.author.institutional | Atılgan Büyükaşık, Şirin | |
| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 343 | en_US |
| gdc.description.wosquality | N/A | |
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| gdc.oaire.keywords | Time variable | |
| gdc.oaire.keywords | Orthogonal polynomials | |
| gdc.oaire.keywords | Partial differential equations | |
| gdc.oaire.keywords | Exact solutions | |
| gdc.oaire.keywords | Burgers equation | |
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