Canonical Hamiltonians for waves in inhomogeneous media (2008)
Gershgorin, Boris, Lvov, Yuri V., Nazarenko, Sergey
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 canonical form of the...
Wave-wave interactions in stratified fluids: A comparison between different approaches (2007)
Lvov, Yuri V., Polzin, Kurt L, Yokoyama, Naoto
Various approaches have been developed over the last four decades to characterize the magnitude of nonlinear interactions between triads of internal waves in stratified oceanic flows. The present...
Nonlinear wave-wave interactions in stratified flows: Direct numerical simulations (2007)
Lvov, Yuri V., Yokoyama, Naoto
To investigate the formation mechanism of energy spectra of internal waves in the oceans, direct numerical simulations are performed. The simulations are based on the reduced dynamical equations of...
Interactions of renormalized waves in thermalized Fermi-Pasta-Ulam chains (2007)
Gershgorin, Boris, Lvov, Yuri V., Cai, David
The dispersive interacting waves in Fermi-Pasta-Ulam (FPU) chains of particles in \textit{thermal equilibrium} are studied from both statistical and wave resonance perspectives. It is shown that,...
Discreteness and its effect on the water-wave turbulence (2005)
Lvov, Yuri V., Nazarenko, Sergey, Pokorni, Boris
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 statistics of weakly...
Renormalized waves and discrete breathers in $\beta$-FPU chains (2005)
Gershgorin, Boris, Lvov, Yuri V., Cai, David
We demonstrate via numerical simulation that in the \textit{strongly} nonlinear limit, the $\beta$-FPU system in thermal equilibrium behaves surprisingly like weakly nonlinear waves in properly...
Oceanic Internal Wave Field: Theory of Scale-invariant Spectra (2005)
Lvov, Yuri V., Polzin, Kurt L., Tabak, Esteban G., Yokoyama, Naoto
Steady scale-invariant solutions of a kinetic equation describing the statistics of oceanic internal gravity waves based on wave turbulence theory are investigated. It is shown that the...
Choi, Yeontaek, Lvov, Yuri V., Nazarenko, Sergey
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 generalisation of...
Joint statistics of amplitudes and phases in Wave Turbulence (2004)
Choi, Yeontaek, Lvov, Yuri V., Nazarenko, Sergey
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, RPA assumes that...
Probability densities and preservation of randomness in wave turbulence (2004)
Choi, Yeontaek, Lvov, Yuri V., Nazarenko, Sergey
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 randomness, once present...
Anomalous probability of large amplitudes in wave turbulence (2004)
Choi, Yeontaek, Lvov, Yuri V., Nazarenko, Sergey, Pokorni, Boris
Time evolution equation for the Probability Distribution Function (PDF) is derived for system of weakly interacting waves. It is shown that a steady state for such system may correspond to strong...
Energy spectra of the ocean's internal wave field: theory and observations (2003)
Lvov, Yuri V., Polzin, Kurt L., Tabak, Esteban G.
The high-frequency limit of the Garrett and Munk spectrum of internal waves in the ocean and the observed deviations from it are shown to form a pattern consistent with the predictions of wave...
"Noisy" spectra, long correlations and intermittency in wave turbulence (2003)
Lvov, Yuri V., Nazarenko, Sergey
We study the k-space fluctuations of the waveaction about its mean spectrum in the turbulence of dispersive waves. We use a minimal model based on the Random Phase Approximation (RPA) and derive...
A Hamiltonian Formulation for Long Internal Waves (2002)
Lvov, Yuri V., Tabak, Esteban G.
A novel canonical Hamiltonian formalism is developed for long internal waves in a rotating environment. This includes the effects of background vorticity and shear on the waves. By restricting...
Hamiltonian formalism and the Garrett-Munk spectrum of internal waves in the ocean (2001)
Lvov, Yuri V., Tabak, Esteban G.
Wave turbulence formalism for long internal waves in a stratified fluid is developed, based on a natural Hamiltonian description. A kinetic equation appropriate for the description of spectral energy...
Dispersion management in optical fiber links: Integrability in leading nonlinear order (1999)
Lvov, Yuri V., Gabitov, Ildar R.
We show that an integro-differential equation model for pulse propagation in optical transmission lines with dispersion management, is integrable at the {\it leading nonlinear order}. This equation...
Semiconductor Lasers and Kolmogorov Spectra (1997)
Lvov, Yuri V., Newell, Alan C.
In this article, we make a prima facie case that there could be distinct advantages to exploiting a new class of finite flux equilibrium solutions of the Quantum Boltzmann equation in semiconductor...