Toward an integrable model of deep water

DOI10.1016/0375-9601(96)00394-5zbMath0972.76508OpenAlexW2060380243MaRDI QIDQ1967971

Alexander I. Dyachenko, Vladimir E. Zakharov

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00394-5

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

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• Five-wave interaction on the surface of deep fluid
• Long-time behavior of the \(N\)-finger solution of the Laplacian growth equation
• Is free-surface hydrodynamics an integrable system?
• An exact solution for progressive capillary waves of arbitrary amplitude
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• An integrable normal form for water waves in infinite depth

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