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Hamiltonian Systems of Hydrodynamic Type in 2

โœ Scribed by E. V. Ferapontov; A. Moro; V. V. Sokolov

Publisher
Springer
Year
2008
Tongue
English
Weight
401 KB
Volume
285
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

Separable Hamiltonians and integrable sy
Separable Hamiltonians and integrable systems of hydrodynamic type
โœ E.V. Ferapontov; A.P. Fordy ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Deformations of bi-Hamiltonian structure
Deformations of bi-Hamiltonian structures of hydrodynamic type
โœ Paolo Lorenzoni ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 315 KB

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

Non-homogeneous systems of hydrodynamic
Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term
โœ E.V. Ferapontov; A.P. Fordy ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB

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