Spatial equation for water waves
- Authors: Dyachenko A.I.1,2, Zakharov V.E.1,2,3,4
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Affiliations:
- Novosibirsk State University
- Landau Institute for Theoretical Physics
- Department of Mathematics
- Landau Physical Institute
- Issue: Vol 103, No 3 (2016)
- Pages: 181-184
- Section: Condensed Matter
- URL: https://ogarev-online.ru/0021-3640/article/view/159019
- DOI: https://doi.org/10.1134/S0021364016030048
- ID: 159019
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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.
Keywords
About the authors
A. I. Dyachenko
Novosibirsk State University; Landau Institute for Theoretical Physics
Author for correspondence.
Email: alexd@itp.ac.ru
Russian Federation, Novosibirsk, 630090; Chernogolovka, Moscow region, 142432
V. E. Zakharov
Novosibirsk State University; Landau Institute for Theoretical Physics; Department of Mathematics; Landau Physical Institute
Email: alexd@itp.ac.ru
Russian Federation, Novosibirsk, 630090; Chernogolovka, Moscow region, 142432; Tucson, AZ, 857201; Moscow, 119991
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