Search Results

Now showing 1 - 1 of 1

Citation - WoS: 5
Citation - Scopus: 6
Quantum Calculus of Classical Vortex Images, Integrable Models and Quantum States
(IOP Publishing Ltd., 2016) Pashaev, Oktay
From two circle theorem described in terms of q-periodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular N-vortex polygon we find compact expression for the velocity of uniform rotation and show that it represents a nonlinear oscillator. We describe q-dispersive extensions of the linear and nonlinear Schrodinger equations, as well as the q-semiclassical expansions in terms of Bernoulli and Euler polynomials. Different kind of q-analytic functions are introduced, including the pq-analytic and the golden analytic functions.

Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection