On Integrability of the Camassa–Holm Equation and Its Invariants
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- Golovko, V., Kersten, P., Krasil’shchik, I. et al. Acta Appl Math (2008) 101: 59. doi:10.1007/s10440-008-9200-z
Using geometrical approach exposed in (Kersten et al. in J. Geom. Phys. 50:273–302,  and Acta Appl. Math. 90:143–178, ), we explore the Camassa–Holm equation (both in its initial scalar form, and in the form of 2×2-system). We describe Hamiltonian and symplectic structures, recursion operators and infinite series of symmetries and conservation laws (local and nonlocal).