On  the nature of large and rogue waves

Mikhail Kovalyov

doi:10.3934/dcds.2014.34.3061

Article Contents

2014, Volume 34, Issue 8: 3061-3093. Doi: 10.3934/dcds.2014.34.3061

This issue Previous Article Small-amplitude equatorial water waves with constant vorticity: Dispersion relations and particle trajectories Next Article Particle trajectories in extreme Stokes waves over infinite depth

On the nature of large and rogue waves

Mikhail Kovalyov^1,

1.
Department of Mathematics, Sungkyunkwan University, Suwon, Gyeonggi-do

Received: October 2012

Revised: October 2013

Published: August 2014

Abstract / Introduction Related Papers Cited by

Abstract

In this paper we discuss a model of large and rogue waves in non-necessarily shallow water. We assume that the relevant portion of the flow is restricted to a near-surface layer, assumption which enables us to use the Kadomtsev-Petviashvili equation. The shape and behavior of several types of waves predicted by some singular solutions of the Kadomtsev-Petviashvili equation is compared to the physical waves observed in the ocean.

Keywords:

Mathematics Subject Classification: 76B15, 76B25, 35Q35, 35Q51.

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