Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Subject: search.filters.subject.Partial differential equationsWoS Q: search.filters.wosQuartile.N/A

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  • Conference Object
    Damped Parametric Oscillator and Exactly Solvable Complex Burgers Equations
    (IOP Publishing Ltd., 2012) Atılgan Büyükaşık, Şirin; Pashaev, Oktay
    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.