Canonically conjugate variables for the periodic Camassa-Holm equation

Abstract

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.

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

References in corpus (1)

• The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's of Shallow Water and Dym Type

Cited by in corpus (1)

• Poisson structure and Action-Angle variables for the Camassa-Holm equation