Symmetry and classes of transport equations

A method for classification and determination of local transport equations is presented based on the use of Lie symmetries. The starting point is the choice of a specific symmetry group and the definition of a class of partial-differential equations. Results associated with the Fokker–Planck equatio...

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Bibliographic Details
Published inPhysica A Vol. 308; no. 1; pp. 292 - 300
Main Authors Cardeal, J.A., Santana, A.E., Rocha Filho, T.M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.05.2002
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Summary:A method for classification and determination of local transport equations is presented based on the use of Lie symmetries. The starting point is the choice of a specific symmetry group and the definition of a class of partial-differential equations. Results associated with the Fokker–Planck equation in (1+1) and (2+1) dimensions are given.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(02)00616-7