A dual construction of the isotropic Landau-Lifshitz model

Iain Findlay

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)13-22
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Volume398
Early online date8 Jun 2019
DOIs
Publication statusPublished - Nov 2019

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brackets
curvature
formalism

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

Cite this

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A dual construction of the isotropic Landau-Lifshitz model. / Findlay, Iain.

In: Physica D: Nonlinear Phenomena, Vol. 398, 11.2019, p. 13-22.

Research output: Contribution to journalArticle

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KW - Lax pair

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KW - r-matrix

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