THE BISPECTRAL PROPERTY OF A Q-DEFORMATION OF THE SCHUR POLYNOMIALS AND THE Q-KDV HIERARCHY

Authors
HAINE L ILIEV P
Citation
L. Haine et P. Iliev, THE BISPECTRAL PROPERTY OF A Q-DEFORMATION OF THE SCHUR POLYNOMIALS AND THE Q-KDV HIERARCHY, Journal of physics. A, mathematical and general, 30(20), 1997, pp. 7217-7227
Citations number
18
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
20
Year of publication
1997
Pages
7217 - 7227
Database
ISI
SICI code
0305-4470(1997)30:20<7217:TBPOAQ>2.0.ZU;2-N
Abstract
We show that appropriate q-analogues of the Schur polynomials provide rational solutions of a q-deformation of the Nth KdV hierarchy. This a llows us to construct explicit examples of bispectral commutative ring s of q-difference operators.