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Nonlin. Processes Geophys., 6, 1-10, 1999
https://doi.org/10.5194/npg-6-1-1999
© Author(s) 1999. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
 
31 Mar 1999
Diffusion model of interacting gravity waves on the surface of deep fluid
V. E. Zakharov2,1 and A. N. Pushkarev2,1 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.

Citation: Zakharov, V. E. and Pushkarev, A. N.: Diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Processes Geophys., 6, 1-10, https://doi.org/10.5194/npg-6-1-1999, 1999.
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