Canonically conjugate variables for the periodic Camassa-Holm equation
Mathematical Physics
2015-06-26 v3 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0211048,
title = {Canonically conjugate variables for the periodic Camassa-Holm equation},
author = {Alexei V. Penskoi},
journal= {arXiv preprint arXiv:math-ph/0211048},
year = {2015}
}
Comments
10 pages, no figures, LaTeX; v. 2,3: references updated, minor changes