Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
Shapovalov, Alexander V. ; Rezaev, Roman O. ; Trifonov, Andrey Yu.
arXiv, 0701012 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2007-01-05
Classification:  Mathematical Physics,  Condensed Matter - Statistical Mechanics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0701012,
     author = {Shapovalov, Alexander V. and Rezaev, Roman O. and Trifonov, Andrey Yu.},
     title = {Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with
  Nonlocal Quadratic Nonlinearity},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0701012}
}

Shapovalov, Alexander V.; Rezaev, Roman O.; Trifonov, Andrey Yu. Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with
  Nonlocal Quadratic Nonlinearity. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0701012/