Keywords
partial differential equations
invariant solutions
Fokker Planck equation
grupos de Lie
ecuaciones diferenciales parciales
soluciones invariantes
ecuación de Fokker Planck
How to Cite
Abstract
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.
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