The bispectral property of a q-deformation of the Schur polynomials and the q-KdV hierarchy

Haine, Luc;Iliev, P
(1997) Journal of Physics A: Mathematical and General —

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  • Haine, LucUCLouvain
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  • Iliev, P
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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.
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Haine, L., & Iliev, P. (1997). The bispectral property of a q-deformation of the Schur polynomials and the q-KdV hierarchy. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/30/20/021