Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Symmetry in the Painlevé Systems and Their Extensions to Four-Dimensional Systems
Yusuke Sasano
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Keywords: Affine Weyl group, Birational symmetry, Coupled Painlevé system
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Volume 51 (2008) Issue 3 Pages 351-369

DOI https://doi.org/10.1619/fesi.51.351
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Abstract

We give a reformulation of the symmetry of the Painlevé equations PV, PIV, PIII and PII, respectively. Based on these constructions, we make natural extensions to fourth-order analogues for each of the Painlevé equations PV and PIII, respectively.

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© 2008 by the Division of Functional Equations, The Mathematical Society of Japan
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