Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy
G. Falqui, F. Magri, G. Tondo
Abstract
We discuss the Boussinesq system with t5 stationary, within a general framework for the analysis of stationary flows of n-Gel'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separation coordinates for the corresponding Hamilton--Jacobi equations.
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