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
Lorenzoni, P. (2004). A bi-Hamiltonian approach to the Sine-Gordon and Liouville hierarchies. LETTERS IN MATHEMATICAL PHYSICS, 67(2), 83-94 [10.1023/B:MATH.0000032749.72618.93].
A bi-Hamiltonian approach to the Sine-Gordon and Liouville hierarchies
LORENZONI, PAOLO
2004
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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