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Bi-Hamiltonian structure of modified Volterra model

โœ Scribed by Takayuki Tsuchida; Miki Wadati


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
262 KB
Volume
9
Category
Article
ISSN
0960-0779

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โœฆ Synopsis


Bi-Hamiltonian structure of a periodic modified Volterra model is studied. A new Hamiltonian structure of the model is derived by use of the variable transformation between the model and the original Volterra model. This result shows the bi-Hamiltonian structure of the model.


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Deformations of bi-Hamiltonian structure
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