Some exact solutions for a unidimensional Fokker-Planck equation by using lie symmetries

 

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Sonraí Bibleagrafaíochta
Autores: Ortíz-Álvarez, Hugo Hernán, Jiménez-García, Francy Nelly, Posso-Agudelo, Abel Enrique
Formáid: artículo original
Stádas:Versión publicada
Fecha de Publicación:2015
Cur Síos:The Fokker Planck equation appears in the study of diffusion phenomena, stochastics processes and quantum and classical mechanics. A particular case fromthis equation, ut − uxx − xux − u=0, is examined by the Lie group method approach. From the invariant condition it was possible to obtain the infinitesimal generators or vectors associated to this equation, identifying the corresponding symmetry groups. Exact solution were found for each one of this generators and new solution were constructed by using symmetry properties.
País:Portal de Revistas UCR
Institiúid:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Teanga:Inglés
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/17499
Rochtain Ar Líne:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/17499
Palabra clave:Lie groups
partial differential equations
invariant solutions
Fokker Planck equation
grupos de Lie
ecuaciones diferenciales parciales
soluciones invariantes
ecuación de Fokker Planck