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Higher order Painlev\'e equations of type $A^{(1)}_l$

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP

Abstract

A series of systems of nonlinear equations with affine Weyl group symmetry of type Al(1)A^{(1)}_l is studied. This series gives a generalization of Painlev\'e equations PIVP_{IV} and PVP_{V} to higher orders.

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Cite

@article{arxiv.math/9808003,
  title  = {Higher order Painlev\'e equations of type $A^{(1)}_l$},
  author = {Masatoshi Noumi and Yasuhiko Yamada},
  journal= {arXiv preprint arXiv:math/9808003},
  year   = {2007}
}

Comments

amslatex, 16 pages

R2 v1 2026-07-22T17:59:31.096Z