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A Bi-Hamiltonian Approach to the Sine-Gordon and Liouville Hierarchies
Authors:Lorenzoni  Paolo
Affiliation:(1) Department of Mathematics and Applications, University of Milano Bicocca, via degli Arcimboldi 8, 20126 Milan, Italy
Abstract:In this Letter we study the sine-Gordon and the Liouville hierarchies in laboratory coordinates from a bi-Hamiltonian point of view. Besides the well-known local structure these hierarchies possess a second compatible nonlocal Poisson structure.
Keywords:bi-Hamiltonian structures  hierarchies
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