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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 25, issue 3
Nonlin. Processes Geophys., 25, 553–563, 2018
https://doi.org/10.5194/npg-25-553-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nonlin. Processes Geophys., 25, 553–563, 2018
https://doi.org/10.5194/npg-25-553-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 15 Aug 2018

Research article | 15 Aug 2018

On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation

Dmitry Kachulin and Andrey Gelash

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Cited articles

Akylas, T.: Higher-order modulation effects on solitary wave envelopes in deep water, J. Fluid Mech., 198, 387–397, 1989.
Antikainen, A., Erkintalo, M., Dudley, J., and Genty, G.: On the phase-dependent manifestation of optical rogue waves, Nonlinearity, 25, R73, 2012.
Dyachenko, A. I. and Zakharov, V. E.: On the formation of freak waves on the surface of deep water, JETP Lett., 88, 307–311, https://doi.org/10.1134/S0021364008170049, 2008.
Dyachenko, A. I. and Zakharov, V. E.: A dynamic equation for water waves in one horizontal dimension, Eur. J. Mech. B, 32, 17–21, 2012.
Dyachenko, A. I. and Zakharov, V. E.: Compact equation for gravity waves on deep water, JETP Lett., 93, 701–705, 2011.
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Short summary
We consider the nonlinear model well known in geophysics for deep water surface gravity waves – the envelope version of the Dyachenko–Zakharov equation. This model predicts that waves can propagate as a stable localized groups – solitons. We study numerically in detail the soliton collisions and find fundamentally different effects when compared to the previously known results. We demonstrate the formation of extreme amplitude waves that may cause serious damage appearing in seas and oceans.
We consider the nonlinear model well known in geophysics for deep water surface gravity waves –...
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