Integrable stationary flows: Miura maps and bi-hamiltonian structures

We present a Miura map between the finite dimensional phase spaces of stationary flows of integrable nonlinear evolution equations. This is used to construct a finite bi-hamiltonian ladder for such systems. We illustrate these ideas with examples from the KdV/MKdV hierarchies. Even in this case we o...

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Bibliographic Details
Published in:Physics letters. A 1987-09, Vol.124 (3), p.143-150
Main Authors: Antonowicz, Marek, Fordy, Allan P., Wojciechowski, Stefan
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Other techniques and industries
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Summary:We present a Miura map between the finite dimensional phase spaces of stationary flows of integrable nonlinear evolution equations. This is used to construct a finite bi-hamiltonian ladder for such systems. We illustrate these ideas with examples from the KdV/MKdV hierarchies. Even in this case we obtain new and non-trivial results.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(87)90241-6