The two-dimensional stability of periodic and solitary wave trains on a water surface over arbitrary depth

DOI10.1063/1.866123zbMath0636.76018OpenAlexW2010846484MaRDI QIDQ3776827

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Publication date: 1987

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.866123

zbMATH Keywords

Benjamin-Feir instabilitywater surfacesoliton-shaped modulated wave trainstationary envelope profiletwo-surface dimensional dynamics

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (4)

Nonlinear evolution of the Kelvin-Helmholtz instability of supersonic tangential velocity discontinuities ⋮ Nonlinear waves: Change of structure and collapse ⋮ The modulational instability of the nonlinear Klein-Gordon equation ⋮ Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation

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