Abstract
We obtain, a complete classification of all possible nontrivial similarity solutions of the free Kramers equations, together with a necessary and sufficient condition for each type to be reducible to the heat equation. A confluent hypergeometric solution of the free Kramers equation is derived for some classes of similarity solutions.
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Communicated by J. L. Lebowitz
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Saied, E.A. Classification of the similarity solutions of free Kramers equation. J Stat Phys 78, 1139–1146 (1995). https://doi.org/10.1007/BF02183706
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DOI: https://doi.org/10.1007/BF02183706