Iterations of the non-classical symmetries method and conditional Lie-Bäcklund symmetries

Journal of Physics A: Mathematical and General

Volumn 29, Issue 24, 1996, Pages 8117-8122

  Nucci, M C ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030597487     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/24/032     Document Type: Article

References (26)

1. Lie S 1881 Arch. Math. 6 328
2. Ames W F 1972 Nonlinear Partial Differential Equations in Engineering vol 2 (New York: Academic)
3. Bluman G W and Cole J D 1974 Similarity Methods for Differential Equations (Berlin: Springer)
4. Ovsjannikov L V 1982 Group Analysis of Differential Equations (New York: Academic)
5. Olver P J 1986 Applications of Lie Groups to Differential Equations (Berlin: Springer)
6. Bluman G W and Kumei S 1989 Symmetries and Differential Equations (Berlin: Springer)
7. Rogers C and Ames W F 1989 Nonlinear Boundary Value Problems in Science and Engineering (New York: Academic)
8. Stephani H 1989 Differential Equations. Their Solution Using Symmetries (Cambridge: Cambridge University Press)
9. Hill J M 1992 Differential Equations and Group Methods for Scientists and Engineers (Boca Raton, FL: CRC Press)
10. Bluman G W and Cole J D 1969 J. Math. Mech. 18 1025
11. Levi D and Winternitz P 1989 J. Phys. A: Math. Gen 22 2915
12. Clarkson P A and Winternitz P 1991 Physica 49D 257
13. Nucci M C and Clarkson P A 1992 Phys. Lett. 164A 49
14. Nucci M C and Ames W F 1993 J. Math. Anal. Appl. 178 584
15. Clarkson P A and Mansfield E L 1994 Physica 70D 250
16. Grundland A M and Tafel J 1995 J. Math. Phys. 36 1426
17. Galaktionov V A 1990 Diff. Int. Eq. 3 863
18. King J R 1993 Physica 64D 35
19. Nucci M C 1994 Physica 78D 124
20. Nucci M C 1993 J. Math. Anal. Appl. 178 294
21. Zhdanov R Z 1995 J. Phys. A: Math. Gen. 28 3841
22. Nucci M C 1996 CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 3: New Trends ed N H Ibragimov (Boca Raton, FL: CRC Press) p 415
23. Allassia F and Nucci M C 1996 J. Math. Anal. Appl. 201 911
24. Vorob'ev E M 1989 Diff. Eq. 25 322
25. Olver P J 1994 Proc. R. Soc., Lond. A 444 509
26. Guthrie G 1993 Constructing Miura transformations using symmetry groups Research Report 85