251 citations · 2.2k across the 63 of their papers we have counts for
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On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
Sergey Nazarenko, Avy Soffer, Minh-Binh Tran
We derive a new kinetic and a porous medium equations from the nonlinear Schrödinger equation with random potentials. The kinetic equation has a very similar form with the 4-wave t…
Canonical Hamiltonians for waves in inhomogeneous media
Boris Gershgorin, Yuri V. Lvov, Sergey Nazarenko
We obtain a canonical form of a quadratic Hamiltonian for linear waves in a weakly inhomogeneous medium. This is achieved by using the WKB representation of wave packets. The canon…
Discreteness and its effect on the water-wave turbulence
Yuri V. Lvov, Sergey Nazarenko, Boris Pokorni
We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing s…
Joint statistics of amplitudes and phases in Wave Turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation…
Wave Turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a g…
Probability densities and preservation of randomness in wave turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
Turbulence closure for the weakly nonlinear stochastic waves requires, besides weak nonlinearity, randomness in both the phases and the amplitudes of the Fourier modes. This random…