Tau Function Solutions to a q-Deformation of the KP Hierarchy

1. Askey, R.: in: A Brief Introduction to the World of q, CRM Proc. Lecture Notes, 9, Amer. Math. Soc. Providence RI, 1996, pp. 13-20.

   Google Scholar 

2. Dickey, L.: Soliton Equations and Hamiltonian Systems, Adv. Ser. Math. Phys. 12, World Scientific, River Edge, N.J., 1991.

   Google Scholar 

3. Date, E., Jimbo, M., Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations, in: M. Jimbo and T. Miwa (eds), Proc. RIMS Symp. Nonlinear Integrable Systems - Classical and Quantum Theory(Kyoto 1981), World Scientific, Singapore 1983, pp. 39-111.

   Google Scholar 

4. Frenkel, E.: Deformations of the KdV hierarchy and related soliton equations, IMRN 2(1996), 55-76.

   Google Scholar 

5. Frenkel, E. and Reshetikhin, N.: Quantum affine algebras and deformations of the Virasoro and W-algebras, Comm. Math. Phys. 178(1996), 237-264.

   Google Scholar 

6. Gasper, G. and Rahman, M.: Basic Hypergeometric Series, Encyclopedia Math. Appl. 35, Cambridge University Press, 1990.

   Google Scholar 

7. Haine, L. and Iliev, P.: The bispectral property of a q-deformation of the Schur polynomials and the q-KdV hierarchy, J. Phys. A: Math. Gen. 30(1997), 7217-7227.

   Google Scholar 

8. Sato, M. and Sato, Y.: Soliton equations as dynamical systems on infinite dimensional Grassmann manifolds, in: Lecture Notes Numer. Appl. Anal. 5, Kinokuniya, Tokyo, 1982, pp. 259-271.

   Google Scholar 

9. Segal, G. and Wilson, G.: Loop groups and equations of KdV type, Publ. Math. IHES 61(1985), 5-65.

   Google Scholar 

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