Integration of Hamiltonian systems on a separate isoenergetic surface
β Scribed by G. G. Okuneva
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 247 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
We exhibit a surprising relationship between separable Hamiltonians and integrable, linearly degenerate systems of hydrodynamic type. This gives a new way of obtaining the general solution of the latter. Our formulae also lead to interesting canonical transformations between large classes of St~icke
A systematic construction of StΓ€ckel systems in separated coordinates and its relation to bi-Hamiltonian formalism are considered. A general form of related hydrodynamic systems, integrable by the Hamilton-Jacobi method, is derived. One-Casimir bi-Hamiltonian case is studied in details and in this c