Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy |
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| Authors: | G. Falqui F. Magri G. Tondo |
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| Affiliation: | (1) SISSA, Trieste, Italy;(2) Dipartimento di Matematica, Università di Milano, Milano, Italy;(3) Dipartimento di Scienze Matematiche, Università di Trieste, Trieste, Italy |
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| Abstract: | We discuss the Boussinesq system with the stationary time t5 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. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 2, pp. 219–238, February, 2000. |
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