Rational solutions of the Sasano system of type \(A_{5}^{(2)}\)

DOI10.3842/SIGMA.2011.030zbMATH Open1218.33022arXiv1103.4906OpenAlexW2041579410MaRDI QIDQ542782

Kazuhide Matsuda

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: In this paper, we completely classify the rational solutions of the Sasano system of type $A_5^{(2)}$, which is given by the coupled Painlev'e III system. This system of differential equations has the affine Weyl group symmetry of type $A_5^{(2)}$.

Full work available at URL: https://arxiv.org/abs/1103.4906

File on IPFS (Hint: this is only the Hash - if you get a timeout, this file is not available on our server.)

zbMATH Keywords

rational solutionsaffine Weyl groupSasano system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (3)

Rational solutions of the Sasano system of type \(A_{1}^{(1)}\) ⋮ RATIONAL SOLUTIONS OF THE SASANO SYSTEMS OF TYPES B4(1), D4(1)AND D5(2) ⋮ Special Polynomials Associated with the Noumi-Yamada System of Type A5(1)

This page was built for publication: Rational solutions of the Sasano system of type \(A_{5}^{(2)}\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q542782)