Yang-Baxter maps and multi-field integrable lattice equations
Quantum Algebra
2011-11-09 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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 B\"acklund transformations of the nonlinear Schr\"odinger system and specific ferromagnetic models.
Keywords
Cite
@article{arxiv.math/0702577,
title = {Yang-Baxter maps and multi-field integrable lattice equations},
author = {V. G. Papageorgiou and A. G. Tongas},
journal= {arXiv preprint arXiv:math/0702577},
year = {2011}
}
Comments
16 pages, 4 figures, corrected version