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arXiv · solv-int/9906009

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

G. Falqui·F. Magri·G. Tondo
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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.

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G. Falqui, F. Magri, G. Tondo. 1999-06-15. Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy. https://doi.org/10.1007/bf02551195

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