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A Dual Construction of the Isotropic Landau-Lifshitz Model

Published 21 Nov 2018 in math-ph, hep-th, math.MP, and nlin.SI | (1811.08770v2)

Abstract: By interchanging the roles of the space and time coordinates, we describe a dual construction of the isotropic Landau-Lifshitz model, providing equal-space Poisson brackets and dual Hamiltonians conserved with respect to space-evolution. This construction is built in the Lax/zero-curvature formalism, where the duality between the space and time dependencies is evident.

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