A dual construction of the isotropic Landau-Lifshitz model

Iain Findlay

doi:10.1016/j.physd.2019.06.003

A dual construction of the isotropic Landau-Lifshitz model

Iain Findlay

School of Mathematical & Computer Sciences

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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.

Original language	English
Pages (from-to)	13-22
Number of pages	10
Journal	Physica D: Nonlinear Phenomena
Volume	398
Early online date	8 Jun 2019
DOIs	https://doi.org/10.1016/j.physd.2019.06.003
Publication status	Published - Nov 2019

Keywords

Dual integrable model
Integrable boundary conditions
Isotropic Landau–Lifshitz model
Lax pair
Zero-curvature condition
r-matrix

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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title = "A dual construction of the isotropic Landau-Lifshitz model",

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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AB - 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.

KW - Dual integrable model

KW - Integrable boundary conditions

KW - Isotropic Landau–Lifshitz model

KW - Lax pair

KW - Zero-curvature condition

KW - r-matrix

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M3 - Article

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

A dual construction of the isotropic Landau-Lifshitz model

Abstract

Keywords

ASJC Scopus subject areas

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