Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity

Bibliographic Details
Parent link:	Russian Physics Journal.— , 1965- Vol. 60, iss. 2.— 2017.— [P. 284–291]
Main Author:	Levchenko E. A. Evgeny Anatolievich
Corporate Authors:	Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ), Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ) Международная лаборатория математической физики (МЛМФ)
Other Authors:	Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Summary:	Title screen The one-dimensional Fokker–Planck–Kolmogorov equation with a special type of nonlocal quadratic nonlinearity is represented as a consistent system of differential equations, including a dynamical system describing the evolution of the moments of the unknown function. Lie symmetries are found for the consistent system using methods of classical group analysis. An example of an invariant-group solution obtained with an additional integral constraint imposed on the system is considered. Режим доступа: по договору с организацией-держателем ресурса
Published:	2017
Subjects:	электронный ресурс труды учёных ТПУ нелинейные уравнения уравнение Фоккера-Планка-Колмогорова последовательные системы инвариантные группы nonlinear Fokker–Planck–Kolmogorov equation consistent system Lie symmetries invariant-group solution
Online Access:	http://dx.doi.org/10.1007/s11182-017-1073-z
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=655097

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