q-Deformation of Transonic Gas Equation

On a q-Deformation of the Discrete Painlevé I equation and q-orthogonal Polynomials

I present a q-analog of the discrete Painlevé I equation, and a special realization of it in terms of q-orthogonal polynomials.

Stable-Range Approach to the Equation of Nonstationary Transonic Gas Flows

Using certain finite-dimensional stable range of the nonlinear terms, we obtain large families of exact solutions parameterized by functions for the equation of nonstationary transonic gas flows discovered by Lin, Reisner and Tsien, and its three-dimensional generalization.

q-DEFORMATION OF ARITHMETICAL FUNCTIONS

Derivation of a Q-schrr Odinger Equation on S Q-deformation of the Kinematical Algebra C 1 (s

Based on a q-deformation of the kinematical algebra C 1 (S 1) +Vect(S 1) a q-analog to the Borel quantization on S 1 is constructed. The resulting momentum operator is given in terms of q-derivatives. Via a generalized version of the Ehrenfest theorem it leads, together with the position operator, to a nonlinear q-diierence equation on the N-point discretization S 1 N of S 1. In the limit q ! 1...

h-Deformation as a Contraction of q-Deformation

1 Institute for Studies in Theoretical Physics and Mathematics, P.O.Box 5746, Tehran 19395, Iran. 2 Department of Physics, Alzahra University, Tehran 19834, Iran 3 Department of Physics, Sharif University of Technology, P.O.Box 9161, Tehran 11365, Iran. 4 Department of Physics, Tehran University, North-Kargar Ave. Tehran, Iran. 5 Institute for Advanced Studies in Basic Sciences, P.O.Box 159, Ga...