q-Painlevé Systems Arising from q-KP Hierarchy

  • Kajiwara, Kenji
  • Noumi, Masatoshi
  • Yamada, Yasuhiko

  • 1Graduate School of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8512, Japan

    2Department of Mathematics, Kobe University, 1-1 Rokko, Kobe 657-8501, Japan.

e-mail: [email protected]

Letters in Mathematical Physics 62(3):p 259-268, December 2002.

A system of q-Painlevé type equations with multi-time variables t1,…,tM is obtained as a similarity reduction of the N-reduced q-KP hierarchy. This system has affine Weyl group symmetry of type AM−1(1)×AN−1(1). Its rational solutions are constructed in terms of q-Schur functions.

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