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

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Ortíz-Álvarez, Hugo Hernán, Jiménez-García, Francy Nelly, Posso-Agudelo, Abel Enrique
التنسيق: artículo original
الحالة:Versión publicada
تاريخ النشر:2015
الوصف: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.
البلد:Portal de Revistas UCR
المؤسسة:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
اللغة:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/17499
الوصول للمادة أونلاين:https://revistas.ucr.ac.cr/index.php/matematica/article/view/17499
كلمة مفتاحية:Lie groups
partial differential equations
invariant solutions
Fokker Planck equation
grupos de Lie
ecuaciones diferenciales parciales
soluciones invariantes
ecuación de Fokker Planck