2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Stages of Energy Transfer in the FPU Model
Joseph A. Biello, Peter R. Kramer, Yury Lvov
The Alpha version of the Fermi-Pasta-Ulam problem is revisited through direct numerical simulations and an application of weak turbulence theory. The energy spectrum, initialized w…
Application of Weak Turbulence Theory to FPU Model
Peter R. Kramer, Joseph A. BIello, Yury Lvov
The foundations of weak turbulence theory is explored through its application to the (alpha) Fermi-Pasta-Ulam (FPU) model, a simple weakly nonlinear dispersive system. A direct app…
Dispersion management in optical fiber links: Integrability in leading nonlinear order
Yuri V. Lvov, Ildar R. Gabitov
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 orde…