The structure of rationally factorized Lax type flows and their analytical integrability

التفاصيل البيبلوغرافية
العنوان: The structure of rationally factorized Lax type flows and their analytical integrability
المؤلفون: Vovk, M., Pukach, P., Hentosh, O., Prykarpatsky, Y. A.
سنة النشر: 2017
المجموعة: Mathematics
Mathematical Physics
Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 17B68, 17B80, 35Q53, 35G25, 35N10, 37K35, 58J70, 58J72, 34A34, 37K05, 37K10
الوصف: The work is devoted to constructing a wide class of differential-functional dynamical systems, whose rich algebraic structure makes their integrability analytically effective. In particular, there is analyzed in detail the operator Lax type equations for factorized seed elements, there is proved an important theorem about their operator factorization and the related analytical solution scheme to the corresponding nonlinear differential-functional dynamical systems.
Comment: 11 pages Report for the International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach held on 18 - 23 September, 2017 in Lviv, Ukraine
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1707.03015
رقم الأكسشن: edsarx.1707.03015
قاعدة البيانات: arXiv