Collisions of two breathers at the surface of deep water

A. I. Dyachenko, D. I. Kachulin, Vladimir E Zakharov

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present results of numerical experiments on long-term evolution and collisions of breathers (which correspond to envelope solitons in the NLSE approximation) at the surface of deep ideal fluid. The collisions happen to be nonelastic. In the numerical experiment it can be observed only after many acts of interactions. This supports the hypothesis of "deep water nonintegrability". The experiments were performed in the framework of the new and refined version of the Zakharov equation free of nonessential terms in the quartic Hamiltonian. Simplification is possible due to exact cancellation of nonelastic four-wave interaction.

Original languageEnglish (US)
Pages (from-to)3205-3210
Number of pages6
JournalNatural Hazards and Earth System Science
Volume13
Issue number12
DOIs
StatePublished - Dec 9 2013

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deep water
collision
experiment
fluid

ASJC Scopus subject areas

  • Earth and Planetary Sciences(all)

Cite this

Collisions of two breathers at the surface of deep water. / Dyachenko, A. I.; Kachulin, D. I.; Zakharov, Vladimir E.

In: Natural Hazards and Earth System Science, Vol. 13, No. 12, 09.12.2013, p. 3205-3210.

Research output: Contribution to journalArticle

Dyachenko, A. I. ; Kachulin, D. I. ; Zakharov, Vladimir E. / Collisions of two breathers at the surface of deep water. In: Natural Hazards and Earth System Science. 2013 ; Vol. 13, No. 12. pp. 3205-3210.
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