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- W1010248336 abstract "We consider the restriction of isospectral flows to stationary manifolds. Specifically, we present a systematic construction of Hamiltonian structures written in stationary manifold coordinates, which demonstrates the close relationship between the Hamiltonian formulations of nonlinear evolution equation (PDE) and its stationary reduction. We illustrate these ideas in the context of the KdV and 5 th order KdV equations. We then apply these ideas to the Boussinesq hierarchy, associated with the (trace free) 3 rd order Lax operator, together with the Sawada-Kotera and Kaup-Kupershmidt reductions. We use our results to study the integrable cases of the Hénon Heiles equation." @default.
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- W1010248336 date "1997-01-01" @default.
- W1010248336 modified "2023-09-25" @default.
- W1010248336 title "Hamiltonian Structures in Stationary Manifold Coordinates" @default.
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- W1010248336 doi "https://doi.org/10.1007/978-1-4612-2434-1_6" @default.
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