On an equation arising by reduction of the Drinfeld-Sokolov hierarchy

التفاصيل البيبلوغرافية
العنوان: On an equation arising by reduction of the Drinfeld-Sokolov hierarchy
المؤلفون: Conte, R.
سنة النشر: 2024
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: A seventh order ordinary differential equation (ODE) arising by reduction of the Drinfeld-Sokolov hierarchyis shown to be identical to a similarity reduction of an equationin the hierarchy of Sawada-Kotera.We also exhibit its link with a particular F-VI,a fourth order ODE isolated by Cosgrove which is likely to define a higher order Painlev\'e function.
Comment: Open Communications in Nonlinear Mathematical Physics, 2024, Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024
نوع الوثيقة: Working Paper
DOI: 10.46298/ocnmp.13436
URL الوصول: http://arxiv.org/abs/2405.12606
رقم الأكسشن: edsarx.2405.12606
قاعدة البيانات: arXiv