A Hamiltonian Formulation of Water Waves with Constant Vorticity
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- Wahlén, E. Lett Math Phys (2007) 79: 303. doi:10.1007/s11005-007-0143-5
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We show that the governing equations for two-dimensional water waves with constant vorticity can be formulated as a canonical Hamiltonian system, in which one of the canonical variables is the surface elevation. This generalizes the well-known formulation due to Zakharov  in the irrotational case.