A Dual Construction of the Isotropic Landau-Lifshitz Model
arXiv:1811.08770 · doi:10.1016/j.physd.2019.06.003
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.
18 Pages, LaTeX; Version accepted for publication in Physica D: Nonlinear Phenomena