Derivation of the Kolmogorov-Zakharov equation from the resonant-averaged stochastic NLS equation

V. E. Zakharov and V. S. L’vov, Statistical description of nonlinear wave fields , Radiophys. Quan. Electronics 18

1975

Earlier work this paper cites.

V. Zakharov, V. L’vov, and G. Falkovich, Kolmogorov Spectra of Turbulence , Springer, Berlin, 1992

1992

Earlier work this paper cites.

A.J. Majda, D.W. McLaughlin, and E.G. Tabak, A one dimensional model for dispersive wave turbulence , J. Nonlinear Sci. 6

1997

Earlier work this paper cites.

A. S. Monin and A. M. Yaglom, Statistical fluid mechanics: mechanics of turbulence. Vol. II. , Dover, New York, 2007

2007

Cited alongside, same era.

J. Cardy, G. Falkovich, and K. Gawedzki, Non-equilibrium Statistical Mechanics and Turbulence , Cambridge University Press, Cambridge, 2008

2008

Cited alongside, same era.

N. Mordant, Are there waves in elastic wave turbulence? , Phys. Rev. Lett. 100

2008

Cited alongside, same era.

S. Kuksin and A. Maiocchi, Averaging for resonant weakly nonlinear stochastic Schrödinger equations , arXiv:1311.6793

Original

Cited in the paper.

S. Nazarenko, Wave Turbulence , Springer, Berlin, 2011

2011

Later among the works it cites.

M. Escobedo and J.J.L. Velázquez, On the theory of Weak Turbulence for Nonlinear Schrödinger Equation , Memoirs of the AMS (2013), to appear, arXiv:1305.5746

Original

2013

Closest in time.