A Bi-Hamiltonian Approach to the Sine-Gordon and Liouville Hierarchies |
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Authors: | Lorenzoni Paolo |
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Affiliation: | (1) Department of Mathematics and Applications, University of Milano Bicocca, via degli Arcimboldi 8, 20126 Milan, Italy |
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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. |
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Keywords: | bi-Hamiltonian structures hierarchies |
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