31 citations · 96 across the 12 of their papers we have counts for
3 papers · 1 filter
Processing of optical signals by "surgical" methods for the Gelfand-Levitan-Marchenko equation
Sergey Medvedev, Irina Vaseva, Mikhail Fedoruk
We propose a new method for solving the Gelfand-Levitan-Marchenko equation (GLME) based on the block version of the Toeplitz Inner-Bordering (TIB) with an arbitrary point to start…
Inverse cascade anomalies in fourth-order Leith models
Simon Thalabard, Sergey Medvedev, Vladimir Grebenev +1
We analyze a family of fourth-order non-linear diffusion models corresponding to local approximations of 4-wave kinetic equations of weak wave turbulence. We focus on a class of pa…
Numerical analysis of a self-similar turbulent flow in Bose--Einstein condensates
B. V. Semisalov, V. N. Grebenev, S. B. Medvedev +1
We study a self-similar solution of the kinetic equation describing weak wave turbulence in Bose-Einstein condensates. This solution presumably corresponds to an asymptotic behavio…