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

Результат исследований: Материалы для журналаСтатья

1 цитирование (Scopus)

Выдержка

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.

Язык оригиналаАнглийский
Страницы (с-по)1-8
Число страниц8
ЖурналRussian Physics Journal
Том60
Номер выпуска2
DOI
СостояниеПринято/в печати - 31 мая 2017

Отпечаток

nonlinearity
symmetry
dynamical systems
differential equations
moments

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Цитировать

Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity. / Levchenko, E. A.; Trifonov, A. Y.; Shapovalov, A. V.

В: Russian Physics Journal, Том 60, № 2, 31.05.2017, стр. 1-8.

Результат исследований: Материалы для журналаСтатья

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