Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
โ Scribed by E. V. Ferapontov
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 763 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0016-2663
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๐ SIMILAR VOLUMES
In this paper we study the deformations of bi-Hamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fa
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