Articles | Volume 6, issue 1
Nonlin. Processes Geophys., 6, 1–10, 1999
https://doi.org/10.5194/npg-6-1-1999
Nonlin. Processes Geophys., 6, 1–10, 1999
https://doi.org/10.5194/npg-6-1-1999

  31 Mar 1999

31 Mar 1999

Diffusion model of interacting gravity waves on the surface of deep fluid

V. E. Zakharov2,1 and A. N. Pushkarev2,1 V. E. Zakharov and A. N. Pushkarev
  • 1Arizona Center of Mathematical Science, Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
  • 2L.D. Landau Institute for Theoretical Physics. Russian Academy of Sciences, 117940 GSP-1 Moscow V-334, ul. Kosygina 2, Russia

Abstract. A simple phenomenological model for nonlinear interactions of gravity waves on the surface of deep water is developed. The Snl nonlinear interaction term in the kinetic equation for wave action is replaced by the nonlinear second-order diffusion-type operator. Analytical and numerical studies show that the new model gives a reasonably good description of a real situation, consuming three order of magnitude less computer time.