A bi-Hamiltonian approach to the sine-Gordon and Liouville hierarchies

Details A bi-Hamiltonian approach to the sine-Gordon and Liouville hierarchies A bi-Hamiltonian approach to the sine-Gordon and Liouville hierarchies

2003-09-04

arxiv.org/abs/nlin/0309011v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages. v2: Additional references

Scientific paper

10.1023/B:MATH.0000032749.72618.

In this paper 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
non-local Poisson structure.

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