Collisions of two breathers at the surface of deep water

A. I. Dyachenko; D. I. Kachulin; V. E. Zakharov

doi:10.5194/nhess-13-3205-2013

Collisions of two breathers at the surface of deep water

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

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 language	English (US)
Pages (from-to)	3205-3210
Number of pages	6
Journal	Natural Hazards and Earth System Sciences
Volume	13
Issue number	12
DOIs	https://doi.org/10.5194/nhess-13-3205-2013
State	Published - Dec 9 2013
Externally published	Yes

ASJC Scopus subject areas

General Earth and Planetary Sciences

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10.5194/nhess-13-3205-2013

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AU - Dyachenko, A. I.

AU - Kachulin, D. I.

AU - Zakharov, V. E.

PY - 2013/12/9

Y1 - 2013/12/9

N2 - 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.

AB - 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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JF - Natural Hazards and Earth System Sciences

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Collisions of two breathers at the surface of deep water

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