Approximate potential symmetries for partial differential equations

Journal of Physics A: Mathematical and General

Volumn 33, Issue 37, 2000, Pages 6601-6613

  Kara, A H ^a   Mahomed, F M ^a   Changzheng, Qu ^b  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b NORTHWEST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034702992     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/37/312     Document Type: Article

References (30)

1. Akhatov I S, Gazizov R K and Ibragimov N H 1991 J. Sov. Math. 55 1401-50
2. Baikov V A, Gazizov R K and Ibragimov N H 1988 Math. Sb. 136 435-50 (Engl. Transl. 1989 Math. VSSR Sb. 64427-41)
3. Baikov V A, Gazizov R K and Ibragimov N H 1988 Math. Sb. 136 435-50 (Engl. Transl. 1989 Math. VSSR Sb. 64427-41)
4. Baikov V A, Gazizov R K and Ibragimov N H 1989 Itogi, Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya 34 85-147 (Engl. Transl. 1991 J. Sov. Math. 55 1450-85)
5. Baikov V A, Gazizov R K and Ibragimov N H 1989 Itogi, Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya 34 85-147 (Engl. Transl. 1991 J. Sov. Math. 55 1450-85)
6. Baikov V A, Gazizov R K, Ibragimov N H and Mahomed FM 1994 J. Math. Phys. 35 6525-35
7. Baikov V A, Gazizov R K and Ibragimov N H 1996 CRC Handbook of Lie Group Analysis of Differential Equations vol 3, ed N H Ibragimov (Boca Raton, FL: Chemical Rubber Company)
8. Bluman G W and Kumei S 1989 Symmetries and Differential Equations (New York: Springer)
9. Bluman G W and Kumei S 1990 Eur. J. Appl. Math. 1 217-23
10. Bluman G W and Cole J D 1969 J. Math. Mech. 18 1025-42
11. Bluman G W and Reid G J 1988 IMA J. Appl. Math. 40 87-94
12. Bluman G W, Reid G J and Kumei S 1988 J. Math. Phys. 29 806-11
13. Bluman G W 1993 Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics ed N H Ibragimov, M Torrisi and A Valenti (Dordrecht: Kluwer) pp 71-84
14. Bluman G W and Kumei S 1987 J. Math. Phys. 28 307-18
15. Bluman G W and Kumei S 1988 J. Math. Phys. 29 87-96
16. Fokas A S and Liu Q M 1994 Phys. Rev. Lett. 72 3293-6
17. Fushchich W I and Shtelen W M 1989 J. Phys. A: Math. Gen. 22 L887-90
18. Gazizov R K 1997 Modern Group Analysis VII: Devolopments in Theory, Computation and Application ed N H Ibragimov, K R Naqvi and E Straume (Mars) pp 107-13
19. Ibragimov N H 1983 Transformation Groups Applied to Mathematical Physics (Moscow: Nauka) (Engl. Transl. 1985 (Boston, MA: Reidel))
20. Kara A H and Mahomed F M 2000 Int. J. Theor. Phys. 39 23-40
21. Kara A H, Mahomed F M and Ünal G 1999 Int. J. Theor. Phys. 38 2389-99
22. Krasilshchik I S and Vinogradov A M 1984 Acta Appl. Math. 2 79-96
23. Mahomed F M and Qu C Z 2000 J. Phys. A: Math. Gen. 33 343-56
24. Mullins W W 1957 J. Appl. Phys. 28 333-39
25. Olver P J 1986 Applications of Lie Groups to Differential Equations (New York: Springer)
26. Ovsiannikov L V 1978 Group Analysis of Differential Equations (Moscow: Nauka) (Engl. Transl. 1982 (New York: Academic))
27. Qu C Z 1997 Stud. Appl. Math. 99 107-36
28. Stephani H 1989 Differential Equations: Their Solutions Using Symmetries (Cambridge: Cambridge University Press)
29. Vinogradov A M and Krasilshchick I S 1984 Sov. Math.-Dokl. 29 337-41
30. Zhdanov R 1995 J. Phys. A: Math. Gen. 28 3841-50