Symmetry classification and exact solutions of the Kramers equation

Journal of Mathematical Physics

Volumn 39, Issue 6, 1998, Pages 3505-3510

  Spichak, Stanislav ^a   Stognii, Valerii ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032365432     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532447     Document Type: Article

References (18)

1. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985).
2. G. A. Nariboli, Stochastic Processes and their Applications 5 (North-Holland, Amsterdam, 1977), pp. 157-171.
3. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
4. G. W. Bluman and I. D. Cole, Similarity Methods for Differential Equations (Springer, Berlin, 1974).
5. G. Cicogna and D. Vitali, J. Phys. A 22, 453 (1989).
6. R. Ferrando, R. Spadacini, and G. Tommei, Phys. Rev. E 48, 2437 (1993).
7. T. Miyazawa, J. Math. Phys. 36, 5643 (1995).
8. C. C. A. Sastri and K. A. Dunn. J. Math. Phys. 26, 3042 (1985).
9. R. J. Wiltshire, J. Phys. A 27, 7821 (1994).
10. F. Wolf, J. Math. Phys. 29, 305 (1988).
11. L. V. Ovsiannikov, Group Analysis of Differential Equations (Academic, New York, 1982).
12. P. Olver, Applications of Lie Groups to Differential Equations (Springer, New York, 1986).
13. G. W. Bluman and I. D. Cole, J. Math. Mech. 18, 1025 (1969).
14. W. I. Fushchich and I. M. Tsifra, J. Phys. A 20, 45 (1987).
15. W. Fushchych, W. Shtelen, and N. Serov, Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics (Kluwer Academic, Dordrecht, 1993).
16. N. H. Ibragimov, Transformation Groups Applied to Mathematical Physics (Reidel, Dordrecht, 1985).
17. P. Winternitz, A. M. Grundland, and J. A. Tuszynski, J. Math. Phys. 28, 2194 (1987).
18. W. M. Shtelen and V. I. Stogny, J. Phys. A 22, 539 (1989).