Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
- 1 August 1988
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (8) , 2371-2373
- https://doi.org/10.1063/1.866587
Abstract
A Hamiltonian formulation using a noncanonical Poisson bracket is presented for a recently proposed model (Dokl. Akad. Nauk SSSR 2 9 3, 818 (1985) [Sov. Phys. Dokl. 3 2, 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.Keywords
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