Geodesic
Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 212-230 
G. Falqui; F. Magri; G. Tondo. Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 212-230. http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss the Boussinesq system with the stationary time $t_5$ within a general framework of stationary flows of $n$-Gel'fand–Dickey hierarchies. A careful use of the bi-Hamiltonian structure can provide a set of separation coordinates for the corresponding Hamilton–Jacobi equations.

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