One-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift; Russian Physics Journal; Vol. 60, iss. 12

One-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift; Russian Physics Journal; Vol. 60, iss. 12

Detalhes bibliográficos
Parent link:	Russian Physics Journal Vol. 60, iss. 12.— 2018.— [P. 2063-2072]
Autor principal:	Shapovalov A. V. Aleksandr Vasilyevich
Autor Corporativo:	Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Resumo:	Title screen The Fokker–Planck equation in one-dimensional spacetime with quadratically nonlinear nonlocal drift in the quasilocal approximation is reduced with the help of scaling of the coordinates and time to a partial differential equation with a third derivative in the spatial variable. Determining equations for the symmetries of the reduced equation are derived and the Lie symmetries are found. A group invariant solution having the form of a traveling wave is found. Within the framework of Adomian’s iterative method, the first iterations of an approximate solution of the Cauchy problem are obtained. Two illustrative examples of exact solutions are found. Режим доступа: по договору с организацией-держателем ресурса
Idioma:	inglês
Publicado em:	2018
Assuntos:	электронный ресурс труды учёных ТПУ nonlinear Fokker–Planck equation quasilocal approximation Lie symmetries traveling waves Adomian decomposition method exact solutions
Acesso em linha:	https://doi.org/10.1007/s11182-018-1327-4
Formato:	Recurso Eletrônico Capítulo de Livro
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666950

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