Yang-Baxter maps and matrix solitons
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
New examples of the Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) on the Grassmannians arising from the theory of the matrix KdV equation are discussed. The Lax pairs for these maps are produced using the relations with the inverse scattering problem for the matrix Schr\"odinger operator.
Keywords
Cite
@article{arxiv.math-ph/0303032,
title = {Yang-Baxter maps and matrix solitons},
author = {V. M. Goncharenko and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0303032},
year = {2007}
}
Comments
6 pages. To appear in Proceedings of NATO Advanced Research Workshop on "New Trends in Integrability and Partial Solvability" (Cadiz, 10-15 June 2002)