Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity; Russian Physics Journal; Vol. 60, iss. 2

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity; Russian Physics Journal; Vol. 60, iss. 2

Dettagli Bibliografici
Parent link:Russian Physics Journal.— , 1965-
Vol. 60, iss. 2.— 2017.— [P. 284–291]
Autore principale: Levchenko E. A. Evgeny Anatolievich
Enti autori: 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)
Altri autori: Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Riassunto: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
Lingua:inglese
Pubblicazione: 2017
Soggetti:
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
Accesso online:http://dx.doi.org/10.1007/s11182-017-1073-z
Natura: Elettronico Capitolo di libro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=655097
Descrizione
Riassunto: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
DOI:10.1007/s11182-017-1073-z

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