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

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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.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalRussian Physics Journal
Issue number2
Publication statusAccepted/In press - 31 May 2017



  • consistent system
  • invariant-group solution
  • Lie symmetries
  • nonlinear Fokker–Planck–Kolmogorov equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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