Abstract
A Hamiltonian formulation using a noncanonical Poisson bracket is presented for a recently proposed model (Dokl. Akad. Nauk SSSR 293, 818 (1985) [Sov. Phys. Dokl. 32, 262 (1987)]) of two-dimensional shallow-water hydrodynamics with nonlinear dispersion. Nonlinear integral invariants for this model are found to be in the kernel of the noncanonical Poisson bracket. A generalized Kelvin theorem is also given for the model.
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