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

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

2008-12-27

arxiv.org/abs/0812.4681v1

Acta Appl. Math. 101 (2008), 59-83

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

10.1007/s10440-008-9200-z

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).

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