Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

1.3 PHYSICAL SCIENCES, 1.1 MATHMATICS

Publication Details

Physics of Fluids 31 (2019) 117103

Abstract

We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume a constant vorticity in the body of the fluid which physically corresponds to an underlying current with a linear horizontal velocity profile. We consider the interaction of three distinct modes and we obtain the dynamic equations for a resonant triad. Setting the constant vorticity equal to zero we recover the well known integrable three-wave system.

DOI

https://doi.org/10.1063/1.5128294

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Mathematics Commons

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