Prolongation structure of the Landau-Lifshitz equation

G.H.M. Roelofs, R. Martini

    Research output: Contribution to journalArticleAcademicpeer-review

    7 Citations (Scopus)
    3 Downloads (Pure)

    Abstract

    The prolongation method of Wahlquist and Estabrook is applied to the Landau–Lifshitz equation. The resulting prolongation algebra is shown to be isomorphic to a subalgebra of the tensor product of the Lie algebra so(3) with the elliptic curve v α 2−v β 2=j β−j α (α,β=1,2,3), which is essentially a subalgebra of the Lie algebra applied by Date et al. in a different context. Taking a matrix representation of so(3) gives rise to a Lax pair of the Landau–Lifshitz equation in agreement with the results found by Sklyanin. A system of related equations is deduced which can be used for the computation of auto‐Bäcklund transformations of the Landau–Lifshitz equation.
    Original languageEnglish
    Pages (from-to)2394-2399
    Number of pages6
    JournalJournal of mathematical physics
    Volume34
    DOIs
    Publication statusPublished - 1993

    Fingerprint

    Dive into the research topics of 'Prolongation structure of the Landau-Lifshitz equation'. Together they form a unique fingerprint.

    Cite this