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Natural Hazards and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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Volume 13, issue 12 | Copyright

Special issue: Extreme seas and ship operations

Nat. Hazards Earth Syst. Sci., 13, 3205-3210, 2013
https://doi.org/10.5194/nhess-13-3205-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 09 Dec 2013

Research article | 09 Dec 2013

Collisions of two breathers at the surface of deep water

A. I. Dyachenko1,3, D. I. Kachulin1, and V. E. Zakharov1,2,3,4 A. I. Dyachenko et al.
  • 1Novosibirsk State University, Pirogova 2, Novosibirsk-90, 630090, Russia
  • 2Department of Mathematics, University of Arizona, Tucson, AZ, 857201, USA
  • 3Landau Institute for Theoretical Physics, 1-a Semenova pr., Chernogolovka, Moscow Region, 142432, Russia
  • 4Physical Institute of RAS, Leninskiy prospekt, 53, Moscow, 119991, Russia

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.

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