Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 028, 11 pages      arXiv:0911.2684      https://doi.org/10.3842/SIGMA.2010.028
Contribution to the Proceedings of the Workshop “Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems”

Yang-Baxter Maps from the Discrete BKP Equation

Saburo Kakei a, Jonathan J.C. Nimmo b and Ralph Willox c
a) Department of Mathematics, College of Science, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan
b) Department of Mathematics, University of Glasgow, Glasgow G12 8QQ, UK
c) Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

Received November 13, 2009, in final form March 19, 2010; Published online March 31, 2010

Abstract
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discrete BKP equation.

Key words: Yang-Baxter map; discrete BKP equation.

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