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About compact equations for water waves

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Abstract

A simple compact equation for gravity water waves, which includes a nonlinear wave term and advection term, is derived. Numerical simulations in the framework of this equation demonstrate an initial stage of freak wave breaking.

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Acknowledgments

This work was supported by Grant “Wave turbulence: theory, numerical simulation, experiment” #14-22-00174 of Russian Science Foundation.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Chernogolovka, Russia, 142432

    A. I. Dyachenko & V. E. Zakharov

  2. Novosibirsk State University, Novosibirsk-90, Russia, 630090

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

  3. Department of Mathematics, University of Arizona, Tucson, AZ, 857201, USA

    V. E. Zakharov

  4. Physical Institute of RAS, Leninskiy prospekt, 53, Moscow, Russia, 119991

    V. E. Zakharov

Authors
  1. A. I. Dyachenko
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  2. D. I. Kachulin
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  3. V. E. Zakharov
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Correspondence to A. I. Dyachenko.

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Dyachenko, A.I., Kachulin, D.I. & Zakharov, V.E. About compact equations for water waves. Nat Hazards 84 (Suppl 2), 529–540 (2016). https://doi.org/10.1007/s11069-016-2478-7

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  • DOI: https://doi.org/10.1007/s11069-016-2478-7

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