A family of completely integrable multi-hamiltonian systems

We consider an N-component hierarchy of nonlinear evolution equations, previously known to be bi-hamiltonian and completely integrable. We show that there exist not just two, but ( N + 1) compatible hamiltonian structures for this hierarchy. For the case N = 2 we relate our equations to a tri-hamilt...

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Bibliographic Details
Published in:Physics letters. A 1987-06, Vol.122 (2), p.95-99
Main Authors: Antonowicz, Marek, Fordy, Allan P.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Other techniques and industries
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Summary:We consider an N-component hierarchy of nonlinear evolution equations, previously known to be bi-hamiltonian and completely integrable. We show that there exist not just two, but ( N + 1) compatible hamiltonian structures for this hierarchy. For the case N = 2 we relate our equations to a tri-hamiltonian hierarchy introduced by Kupershmidt.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(87)90783-3