Higher order Painlevé equations of type $A^{(1)}_l$

Mathematics – Quantum Algebra

Scientific paper

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amslatex, 16 pages

Scientific paper

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 Painlev\'e
equations $P_{IV}$ and $P_{V}$ to higher orders.

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