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Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations

✍ Scribed by Ting Xue; Youjin Zhang

Publisher
Springer
Year
2006
Tongue
English
Weight
142 KB
Volume
75
Category
Article
ISSN
0377-9017

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πŸ“œ SIMILAR VOLUMES

Separable Hamiltonians and integrable sy
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✍ E.V. Ferapontov; A.P. Fordy πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 545 KB

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

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✍ S.I. Agafonov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 232 KB

We propose a complete description and classification of 3 = 3 linearly degenerate reducible systems of hydrodynamic type and show that any strictly hyperbolic system of this class can be reduced to the scalar Monge᎐Ampere type equation of the 3d order.