Yang-Baxter maps and multi-field integrable lattice equations

2007/02/28 by V. G. Papageorgiou, A. G. Tongas · 1 citation
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1751-8113/40/42/s12

published as J. Phys. A: Math Theor. 40 (2007) 12677-12690 · 16 pages, 4 figures, corrected version

arxiv created 2007/10/05 · arxiv updated 2011/11/09

Abstract

A variety of Yang-Baxter maps are obtained from integrable multi-field equations on quad-graphs. A systematic framework for investigating this connection relies on the symmetry groups of the equations. The method is applied to lattice equations introduced by Adler and Yamilov and which are related to the nonlinear superposition formulae for the Bäcklund transformations of the nonlinear Schrödinger system and specific ferromagnetic models.

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