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
Received: 03 Jun 2013 – Published in Nat. Hazards Earth Syst. Sci. Discuss.: 28 Jun 2013
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.
Revised: 05 Nov 2013 – Accepted: 07 Nov 2013 – Published: 09 Dec 2013
Dyachenko, A. I., Kachulin, D. I., and Zakharov, V. E.: Collisions of two breathers at the surface of deep water, Nat. Hazards Earth Syst. Sci., 13, 3205-3210, doi:10.5194/nhess-13-3205-2013, 2013.