The complete Kepler group can be derived by Lie group analysis

Journal of Mathematical Physics

Volumn 37, Issue 4, 1996, Pages 1772-1775

  Nucci, M C ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030544531     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531496     Document Type: Article

References (12)

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3. G. W. Bluman and J. D. Cole, Similarity Methods for Differential Equations (Springer-Verlag, Berlin, 1974).
4. L. V. Ovsjannikov, Group Analysis of Differential Equations (Academic, New York, 1982).
5. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer-Verlag, Berlin, 1986).
6. G. W. Bluman and S. Kumei, Symmetries and Differential Equations (Springer-Verlag, Berlin, 1989).
7. H. Stephani, Differential Equations. Their Solution Using Symmetries (Cambridge University, Cambridge, 1989).
8. J. M. Hill, Differential Equations and Group Methods for Scientists and Engineers (CRC, Boca Raton, FL 1992).
9. CRC Handbook of Lie Group Analysis of Differential Equations, Vol. I: Symmetries, Exact Solutions, and Conservation Laws, edited by N. H. Ibragimov (CRC, Boca Raton, FL, 1994).
10. M. Braun, Differential Equations and Their Applications (Springer-Verlag, Berlin, 1983).
11. CRC Handbook of Lie Group Analysis of Differential Equations, Vol. II: Applications in Engineering and Physical Sciences, edited by N. H. Ibragimov (CRC, Boca Raton, FL 1995).
12. M. C. Nucci, Interactive REDUCE programs for calculating Lie point, nonclassical, Lie-Bäcklund, and approximate symmetries of differential equations: manual and floppy disk, in CRC Handbook of Lie Group Analysis of Differential Equations. Vol. III: New Trends, edited by N. H. Ibragimov (CRC, Boca Raton, FL 1996), pp. 415-481.