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

V. Golovko, P.H.M. Kersten, I. Krasil'shchik, A. Verbovetsky

    Research output: Contribution to journalArticleAcademicpeer-review

    7 Citations (Scopus)

    Abstract

    Using geometrical approach exposed in (Kersten et al. in J. Geom. Phys. 50:273–302, [2004] and Acta Appl. Math. 90:143–178, [2005]), 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).
    Original languageEnglish
    Pages (from-to)59-83
    Number of pages25
    JournalActa applicandae mathematicae
    Volume101
    DOIs
    Publication statusPublished - 2008

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