Journal of Statistical Physics

, Volume 78, Issue 3–4, pp 1139–1146 | Cite as

Classification of the similarity solutions of free Kramers equation

  • Effat A. Saied
Short Communications


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.

Key Words

Brownian motion free Kramers type group classification heat and confluent hypergeometric solution 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Effat A. Saied
    • 1
  1. 1.Mathematics Department, Faculty of ScienceBenha UniversityBenhaEgypt

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