Two-dimensional bifurcations of Stokes waves

DOI10.1016/0165-2125(82)90020-8zbMath0489.76023OpenAlexW2013842429MaRDI QIDQ1167008

David U. Martin

Publication date: 1982

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(82)90020-8

zbMATH Keywords

nonlinear Schrödinger equationenergeticsdeep waterwave steepnesssteady solutionssecond-order correctionsangular separation of propagation directionsmodulation wavelengthtwo-dimensional Stokes wavesweakly-nonlinear waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Hydrodynamic stability (76E99) Bifurcations in context of PDEs (35B32) Basic methods in fluid mechanics (76M99)

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Cites Work

• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• A new type of three-dimensional deep-water wave of permanent form
• Instabilities of finite-amplitude water waves