The Superharmonic Instability of Finite-Amplitude Surface Waves on Water of Finite Depth

DOI10.1002/sapm1986743259zbMath0628.76017OpenAlexW2504896640MaRDI QIDQ3765420

Juan A. Zufiria, Philip G. Saffman

Publication date: 1986

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1986743259

zbMATH Keywords

periodic wavesfluid of infinite depthsuperharmonic stabilitytwo-dimensional irrotational wavesHamiltonian for periodic waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)

Related Items (10)

Two-dimensional instabilities of generalized Korteweg-de Vries waves ⋮ Weakly nonlinear non-symmetric gravity waves on water of finite depth ⋮ Non-symmetric gravity waves on water of infinite depth ⋮ Instability and breaking of a solitary wave ⋮ Oscillatory spatially periodic weakly nonlinear gravity waves on deep water ⋮ The reflection of a solitary wave by a vertical wall ⋮ On the disappearance of the lowest-order instability for steep gravity waves in finite depth ⋮ Water wave solutions of Zufiria's higher-order Boussinesq type equations and its stability ⋮ Mach reflection of a large-amplitude solitary wave ⋮ Superharmonic instability of nonlinear travelling wave solutions in Hamiltonian systems

Cites Work

• Surface waves of finite depth
• The stability of steep gravity waves. Part 2
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
• On Hamilton's principle for surface waves
• Theory of the almost-highest wave. Part 2. Matching and analytic extension

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