Integrable stationary flows: Miura maps and bi-hamiltonian structures
β Scribed by Marek Antonowicz; Allan P. Fordy; Stefan Wojciechowski
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 459 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
We propose a bi-Hamiltonian formulation of the Euler equation for the free n-dimensional rigid body moving about a fixed point. This formulation lives on the 'physical' phase space so(n), and is different from the bi-Hamiltonian formulation on the extended phase space sl(n), considered previously in
Absfrad-We have shown that nonlinear equations in (2+ 1) dimensions which are completely integrable can be analysed on the basis of an operator which is the analogue of the pseudo-differential operator for the discrete case. The bi-Hamiltonian structures of such equations are derived and an analogue