An Example of Stability Exchange in a Hamiltonian Wave System

DOI10.1002/sapm198674185zbMath0604.76013OpenAlexW2406260007MaRDI QIDQ3741259

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/sapm198674185

zbMATH Keywords

multiplicityeigenvaluesanalytical modeleigenvectorsHamiltonian systemscritical pointslimit pointschange of stabilitystability equationdeep water wavessuperharmonic stability

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (1)

Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation

Cites Work

• Surface waves of finite depth
• The superharmonic instability of finite-amplitude water waves
• On the stability of steep gravity waves
• 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

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