This article is cited in 23 papers

Hidden symmetry of the Landau–Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field

P. I. Holod


Abstract: A group-theoretical scheme is developed for constructing higher stationary Landau–Lifshitz equations as the Euler equations on the orbits of hidden symmetry algebra (the algebra of $su(2)$-valued functions on an elliptic curve). Duality between the Landau–Lifshitz equation and asymmetric $O(3)$-chiral field equation is established.

Received: 06.08.1985

 English version: Theoretical and Mathematical Physics, 1987, 70:1, 11–19

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