Saburo Kakei, Jonathan J. C. Nimmo, Ralph Willox, “Yang–Baxter Maps from the Discrete BKP Equation”, SIGMA, 2010, Volume 6,028, 11 pp.

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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2010 Volume 6, 028, 11 pp. (Mi sigma485)

This article is cited in 6 papers

Yang–Baxter Maps from the Discrete BKP Equation

Saburo Kakei^a, Jonathan J. C. Nimmo^b, 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

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

Keywords: Yang–Baxter map; discrete BKP equation.

MSC: 37K10; 37K60; 39A10; 39A14

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

Language: English

DOI: 10.3842/SIGMA.2010.028

Bibliographic databases:

ArXiv: 0911.2684

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