| Vol. 53,
No. 5 November 1999 pp. 795-806 Group of contact transformations: Symmetry classification of Fokker-Planck type equations P RUDRA Department of Physics,
University of Kalyani, Kalyani 741 235, India Abstract. Fokker-Planck type equations have been classified according to the groups of contact transformations to which they belong. It has been found that there are only five classes as in the case of groups of point transformations. We have also obtained the algebraic structures of the correspond-ing Lie algebras. However, there are isomorphies in their group properties. The corresponding basis sets of functionally independent invariants formed by the generators of these groups have also been obtained. Keywords. Fokker-Planck type equation; group of contact transformations; symmetry classifica-tion. PACS Nos 02.20Sv; 02.50.Ey; 89.90.+n |