One-dimensional Fokker-Planck equation with quadratically nonlinear quasilocal drift

DOI10.1007/s11182-018-1327-4zbMath1398.35244OpenAlexW2801018575MaRDI QIDQ1797570

Alexander Shapovalov

Publication date: 22 October 2018

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-018-1327-4

zbMATH Keywords

exact solutionstraveling wavesAdomian decomposition methodLie symmetriesnonlinear Fokker-Planck equationquasilocal approximation

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Vlasov equations (35Q83) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
• A review of the decomposition method in applied mathematics
• The Fokker-Planck equation. Methods of solution and applications.
• Solving frontier problems of physics: the decomposition method
• Symmetries of the one-dimensional Fokker-Planck-Kolmogorov equation with a nonlocal quadratic nonlinearity
• Asymptotic methods for solitary solutions and compactons
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item