Talk:Stokes wave
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Deep water waves; Hamiltonain formalism
[edit]There do not seem to be any existing articles on deep water waves? (currently a red-link). Airy wave theory is about linearized deep-water waves (but in general KdV is non-linear). This article is about periodic waves (but in general, waves are not periodic). Gravity wave is a generic non-technical introduction. Waves and shallow water is a stub.
From what I can tell, the foundational paper that provides a Hamiltonian formalism for deep water waves is this:
- Zakharov, V. 1968 Stability of periodic waves of finite amplitude on a surface of a deep fluid. J. Appl. Mech. Tech. Phys. 2, 190–198.
The perturbation theory for this is first worked out here:
- Krasitskii, V. P. 1994 On reduced equations in the hamiltonian theory of weakly nonlinear surface waves. J. Fluid Mech. 272, 1 – 20.
A nice review of the work is here:
- Janssen, P. A. E. M. 2009 On some consequences of the canonical transformation in the hamiltonian theory of water waves. J. Fluid Mech. 637, 1–44.
I'm curious about this, because I'm trying to slap together Draft:Resonant interaction and am trying to figure out what WP articles already exist on these topics. Any help appreciated. 67.198.37.16 (talk) 19:27, 15 September 2020 (UTC)