Hamiltonian truncation of the shallow water equation
- Cite this article as:
- Zhong, G. & Scovel, C. Lett Math Phys (1994) 31: 1. doi:10.1007/BF00751167
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In this Letter, we describe a truncation of the Eulerian description of the shallow water equation of climate modeling to a finite-dimensional Hamiltonian system. The technique is to use an isomorphism from a semidirect product Poisson manifold to a direct product of Poisson manifolds, both of whose components are truncatable to finite-dimensional Poisson manifolds, based on Moser's theorem on volume elements.