Equations Of Long Waves With A Free Surface IV. The Case of Constant Shear

Boris Kupershmidt

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arXiv · nlin/0610021

Equations Of Long Waves With A Free Surface IV. The Case of Constant Shear

Boris Kupershmidt

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Abstract

A large class of two-dimensional free-surface hydrodynamical systems is determined that can be self-consistently reduced by the condition that the velocity profile has a constant shear. The reduced systems turn out to be Hamiltonian, and so does the reduction process itself. All reducible systems, Hamiltonian or not, are determined and %%@ shown to form a Lie algebra. All this is then generalized to the multilayer/multi-species representations.

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BibTeX RIS

Boris Kupershmidt. 2006-10-10. Equations Of Long Waves With A Free Surface IV. The Case of Constant Shear. https://arxiv.org/abs/nlin/0610021

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