Abstract
A compact spatial Hamiltonian equation for gravity waves on deep water has been derived. The equation is dynamical and can describe extreme waves. The equation for the envelope of a wave train has also been obtained.
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Dyachenko, A.I., Zakharov, V.E. Spatial equation for water waves. Jetp Lett. 103, 181–184 (2016). https://doi.org/10.1134/S0021364016030048
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DOI: https://doi.org/10.1134/S0021364016030048