Canonically conjugate variables for the periodic Camassa-Holm equation

Details Canonically conjugate variables for the periodic Camassa-Holm equation Canonically conjugate variables for the periodic Camassa-Holm equation

2002-11-20

arxiv.org/abs/math-ph/0211048v3

Nonlinearity 18 (2005), no. 1, 415-421

Physics

Mathematical Physics

10 pages, no figures, LaTeX; v. 2,3: references updated, minor changes

Scientific paper

The Camassa-Holm shallow water equation is known to be Hamiltonian with
respect to two compatible Poisson brackets. A set of conjugate variables is
constructed for both brackets using spectral theory.

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