Yang-Baxter maps and multi-field integrable lattice equations
量子代数
2011-11-09 v2 数学物理
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
16 pages, 4 figures, corrected version