Hamiltonian systems of hydrodynamic type and constant curvature metrics
β Scribed by O.I. Mokhov
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 151 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0375-9601
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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
Holm, Marsden, and Ratiu (Adv. in Math. 137 (1998) , 1 81) derived a new model for the mean motion of an ideal fluid in Euclidean space given by the equation where div U=0, and V=(1&: 2 2) U. In this model, the momentum V is transported by the velocity U, with the effect that nonlinear interaction
We consider a class of non-homogeneous systems of hydrodynamic type: which can be related to quadratic Hamiltonians with electromagnetic terms. Whilst it is unlikely that our systems are generally integrable, they do possess intriguing properties, such as (always) having a higher conservation law a