Higher Order Painlevé Equations of Type A

  title={Higher Order Painlev{\'e} Equations of Type A},
  author={Masatoshi Noumi and Yasuhiko Yamada},
A series of systems of nonlinear equations with affine Weyl group symmetry of type A (1) l is studied. This series gives a generalization of Painlevé equations P IV and P V to higher orders. Introduction In this paper we propose a series of systems of nonlinear differential equations which have symmetry under the affine Weyl groups of type A (1) l (l ≥ 2). These systems are thought of as higher order analogues of the Painlevé equations P IV and PV. We will study in particular their Hamiltonian… CONTINUE READING
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