Yang-Baxter maps and matrix solitons

Physics – Mathematical Physics

Scientific paper

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6 pages. To appear in Proceedings of NATO Advanced Research Workshop on "New Trends in Integrability and Partial Solvability"

Scientific paper

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.

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