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nlin.SI2011
Exactly solvable variable parametric Burgers type models
Sirin A. Buyukasik
Exactly solvable variable parametric Burgers type equations in one-dimension are introduced, and two different approaches for solving the corresponding initial value problems are g…
nlin.SI2011★ 1 cited
Exactly Solvable Nonhomogeneous Burgers Equations with Variable Coefficients
Sirin A. Buyukasik, Oktay K. Pashaev
We consider a nonhomogeneous Burgers equation with time variable coefficients, and obtain an explicit solution of the general initial value problem in terms of solution to a corres…
nlin.SI2010
Madelung Representation and Exactly Solvable Schrodinger-Burgers Equations with Variable Parameters
Sirin A. Buyukasik, Oktay K. Pashaev
We construct a Madelung fluid model with specific time variable parameters as dissipative quantum fluid and linearize it in terms of Schrodinger equation with time dependent parame…