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Potential symmetries and invariant solutions for the generalized one-dimensional Fokker–Planck equation

Author

Listed:
  • Khater, A.H.
  • Moussa, M.H.M.
  • Abdul-Aziz, S.F.

Abstract

Pucci and Saccomandi [J. Phys. A 26 (1993) 681] have obtained invariant solutions for the Fokker–Planck (FP) equation via potential symmetries. Herein, we analyze the generalized one-dimensional FP equation for various cases corresponding to the physically interesting situations through the application of the same technique. Some interesting outcomes of this study are the deductions of the new exact solutions that do not seem to have been reported in the literature.

Suggested Citation

  • Khater, A.H. & Moussa, M.H.M. & Abdul-Aziz, S.F., 2002. "Potential symmetries and invariant solutions for the generalized one-dimensional Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 304(3), pages 395-408.
    • Handle: RePEc:eee:phsmap:v:304:y:2002:i:3:p:395-408
    DOI: 10.1016/S0378-4371(01)00496-4
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