The System of Supercompact Equations for Two-Dimensional Waves Propagating on the Surface of a Three-Dimensional Deep Fluid
- 1Novosibirsk State University, Novosibirsk, Russian Federation
- 2Landau Institute for Theoretical Physics RAS, Chernogolovka, Russian Federation
- 3Skolkovo Institute of Science and Technology, Moscow, Russian Federation
The hydrodynamics of potential flows of a 3D ideal incompressible fluid with a free surface in a gravitational field is considered in the approximation of the Zakharov equation. In the case of one-dimensional waves a special property of the four-wave interaction coefficient in the Zakharov equation allows it to be written in a simple form of the so-called supercompact equations for one-dimensional counterpropagating waves. We generalize the system of equations to the case of two-dimensional surface waves and study the problem of modulation instability for a monochromatic and standing wave, as well as resonant interactions of such waves within the framework of this model. The work was supported by Grant No. 19-72-30028 of the Russian Science Foundation.
How to cite: Dremov, S., Kachulin, D., and Dyachenko, A.: The System of Supercompact Equations for Two-Dimensional Waves Propagating on the Surface of a Three-Dimensional Deep Fluid, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-9535, https://doi.org/10.5194/egusphere-egu22-9535, 2022.
