The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy
- 21 October 1997
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (20) , 7217-7227
- https://doi.org/10.1088/0305-4470/30/20/021
Abstract
We show that appropriate q-analogues of the Schur polynomials provide rational solutions of a q-deformation of the Nth KdV hierarchy. This allows us to construct explicit examples of bispectral commutative rings of q-difference operators.Keywords
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