Higher order Painlevé equations of type $A^{(1)}_l$
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- August 1998
- DOI:
- arXiv:
- arXiv:math/9808003
- Bibcode:
- 1998math......8003N
- Keywords:
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- Quantum Algebra;
- Mathematical Physics
- E-Print:
- amslatex, 16 pages