Symmetry operators for the Fokker-Plank-Kolmogorov equation with nonlocal quadratic nonlinearity

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Abstract

The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-Kolmogorov equations is considered. Illustrative examples of the one-dimensional symmetry operators are presented.

Original languageEnglish
Article number005
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume3
DOIs
Publication statusPublished - 1 Jan 2007

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Keywords

  • Fokker-plank-kolmogorov equation
  • Nonlinear partial differential equations
  • Symmetry operators

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

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