Isomonodromy and Painlevé Type Equations, Case Studies

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2025
• Автори: van der Put, Marius, Top, Jaap
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2025
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/214093
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Isomonodromy and Painlevé Type Equations, Case Studies. Marius van der Put and Jaap Top. SIGMA 21 (2025), 075, 32 pages

There is an abundance of equations of Painlevé type besides the classical Painlevé equations. Classifications have been computed by the Japanese school. Here we consider Painlevé-type equations induced by isomonodromic families of linear ODE's having at most = 0 and = ∞ as singularities. Requ...