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Separable Hamiltonians and integrable systems of hydrodynamic type

✍ Scribed by E.V. Ferapontov; A.P. Fordy

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
545 KB
Volume
21
Category
Article
ISSN
0393-0440

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✦ Synopsis

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~ickel systems.

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