On integrability of the Camassa-Holm equation and its invariants. A   geometrical approach
  Using geometrical approach exposed in arXiv:math/0304245 and arXiv:nlin/0511012, we explore the Camassa-Holm equation (both in its initial scalar form, and in the form of 2x2-system). We describe Hamiltonian and symplectic structures, recursion operators and infinite series of symmetries and conservation laws (local and nonlocal). 
Valentina Golovko, Paul Kersten, Iosif Krasil'shchik, and Alexander   Verbovetsky