From bi-Hamiltonian geometry to separation of variables: stationary Harry-Dym and the KdV dressing chain

Abstract

Separability theory of one-Casimir Poisson pencils, written down in arbitrary coordinates, is presented. Separation of variables for stationary Harry-Dym and the KdV dressing chain illustrates the theory.

LaTex 14 pages, Proceedings of the Special Session on Integrable Systems of the First Joint Meeting of the American Mathematical Society and the Hong Kong Mathematical Society, to appear in J. Nonl. Math. Phys

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