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arXiv · 0812.4681

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

Valentina Golovko·Paul Kersten·Iosif Krasil'shchik·Alexander Verbovetsky
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Abstract

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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Valentina Golovko, Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky. 2008-12-27. On integrability of the Camassa-Holm equation and its invariants. A geometrical approach. https://doi.org/10.1007/s10440-008-9200-z

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