On integrability of the Camassa-Holm equation and its invariants. A geometrical approach

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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).
24 pages

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Exactly Solvable and Integrable Systems, Mathematical Physics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/214682

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.4681
 http://arxiv.org/abs/0812.4681
 Acta Appl. Math. 101 (2008), 59-83
 doi:10.1007/s10440-008-9200-z

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arXiv