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Title: Damped parametric oscillator and exactly solvable complex Burgers equations
Authors: Atılgan Büyükaşık, Şirin
Pashaev, Oktay
Keywords: Partial differential equations
Burgers equation
Orthogonal polynomials
Exact solutions
Time variable
Publisher: IOP Publishing Ltd.
Source: 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
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.
Description: 7th International Conference on Quantum Theory and Symmetries, QTS7; Prague; Czech Republic; 7 August 2011 through 13 August 2011
ISSN: 1742-6588
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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