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Reduction of bi-Hamiltonian systems and separation of variables: an example from the Boussinesq hierarchy

TitleReduction of bi-Hamiltonian systems and separation of variables: an example from the Boussinesq hierarchy
Publication TypeJournal Article
Year of Publication2000
AuthorsFalqui, G, Magri, F, Tondo, G
JournalTheor. Math. Phys. 122 (2000) 176-192
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.

URLhttp://hdl.handle.net/1963/3219
DOI10.1007/BF02551195

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