Rational Solutions of the Sasano System of Type A₅⁽²⁾

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2011
• ISSN: 1815-0659
• Автор: Matsuda, K.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2011
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146805
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Rational Solutions of the Sasano System of Type A₅⁽²⁾ / K. Matsuda // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.

In this paper, we completely classify the rational solutions of the Sasano system of type A₅⁽²⁾, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A₅⁽²⁾.