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Deep water waves; Hamiltonain formalism

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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:

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)[reply]