Yang-Baxter maps and multi-field integrable lattice equations

Details Yang-Baxter maps and multi-field integrable lattice equations Yang-Baxter maps and multi-field integrable lattice equations

2007-02-20

arxiv.org/abs/math/0702577v2

J. Phys. A: Math Theor. 40 (2007) 12677-12690

Mathematics

Quantum Algebra

16 pages, 4 figures, corrected version

Scientific paper

10.1088/1751-8113/40/42/S12

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 B\"acklund transformations of the nonlinear Schr\"odinger system and specific ferromagnetic models.

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