Non Permanent Form Solutions in the Hamiltonian Formulation of Surface Water Waves


Using the KAM method, we exhibit some solutions of a finite dimensional approximation of the Zakharov Hamiltonian formulation of gravity water waves (Zakharov, 1968), which are spatially periodic, quasi-periodic in time, and not permanent form travelling waves. For this Hamiltonian, which is the total energy of the waves, the canonical variables are some… (More)


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