Published in

European Geosciences Union, Natural Hazards and Earth System Sciences Discssions, 3(1), p. 3023-3043

DOI: 10.5194/nhessd-1-3023-2013

European Geosciences Union, Natural Hazards and Earth System Sciences, 12(13), p. 3205-3210, 2013

DOI: 10.5194/nhess-13-3205-2013

Links

Tools

Export citation

Search in Google Scholar

Collisions of two breathers at the surface of deep water

Journal article published in 2013 by A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Green circle
Postprint: archiving allowed
Upload
Green circle
Published version: archiving allowed
Upload
Policy details
Data provided by SHERPA/RoMEO

Abstract

We applied canonical transformation to water wave equation not only to remove cubic nonlinear terms but to simplify drastically fourth order terms in Hamiltonian. This transformation explicitly uses the fact of vanishing exact four waves interaction for water gravity waves for 2D potential fluid. After the transformation well-known but cumbersome Zakharov equation is drastically simplified and can be written in X-space in compact way. This new equation is very suitable as for analytic study as for numerical simulation. Localized in space breather-type solution was found. Numerical simulation of collision of two such breathers strongly supports hypothesis of integrability of 2-D free surface hydrodynamics.