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Yang-Baxter maps and matrix solitons

2003/03/12 by V. M. Goncharenko, В. М. Гончаренко, Goncharenko, V. M. +3
Mathematics · Physics and Astronomy · #81R12 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP #msc:81R12

paper · pdf · doi:10.48550/arxiv.math-ph/0303032

6 pages. To appear in Proceedings of NATO Advanced Research Workshop on "New Trends in Integrability and Partial Solvability" (Cadiz, 10-15 June 2002)

arxiv created 2003/03/12 · openalex publication_date 2003/03/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Schrödinger operator.

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