Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy

Abstract

We discuss the Boussinesq system with $t_5$ 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.

20 pages, LaTeX2e, report to NEEDS in Leeds (1998), to be published in Theor. Math. Phys

References in corpus (2)

• Quasi-BiHamiltonian Systems and Separability
• Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy

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