Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family
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Publication:4014065
DOI10.1017/S0022112092002064zbMath0756.76012MaRDI QIDQ4014065
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Publication date: 4 October 1992
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (14)
Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference ⋮ Recent progress and outstanding problems in Hamiltonian dynamics ⋮ Wave propagation phenomena from a spatiotemporal viewpoint: Resonances and bifurcations ⋮ A proof of the Benjamin-Feir instability ⋮ Global bifurcation and highest waves on water of finite depth ⋮ Babenko's equation for periodic gravity waves on water of finite depth: derivation and numerical solution ⋮ On the Hamiltonian structure of the planar steady water-wave problem with vorticity ⋮ The bifurcation of steady gravity water waves in (R, S) parameter space ⋮ Reduction of PDEs on domains with several unbounded directions: A first step towards modulation equations ⋮ Weierstrass traveling wave solutions for dissipative Benjamin, Bona, and Mahony (BBM) equation ⋮ Hamiltonian bifurcations of the spatial structure for coupled nonlinear Schrödinger equations ⋮ On bounds for steady waves with negative vorticity ⋮ Steady water waves with vorticity: spatial Hamiltonian structure ⋮ Traveling gravity water waves in two and three dimensions.
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- Hamiltonian structure, symmetries and conservation laws for water waves
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- Generic Bifurcation of Periodic Points
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