Nonclassical symmetry reductions of a porous medium equation with convection

Journal of Physics A: Mathematical and General

Volumn 32, Issue 8, 1999, Pages 1461-1473

  Gandarias, M L ^a   Romero, J L ^a   Diaz J M ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033604965     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/8/013     Document Type: Article

References (15)

1. Alvarez L, Diaz J I and Kersner R 1980 Nonlinear Diffusion Equations and Their Equilibrium States. 1-21 (Berlin: Springer)
2. Akhatov I Sh, Gazizov R K and Ibragimov N H 1991 J. Sov. Math. 55 1401
3. Arrigo D J, Broadbridge P and Hill J M 1993 J. Math. Phys. 34 4692-703
4. Bhutani O P and Vijayakumar K 1990 Int. J. Eng. Sci. 28 375-87
5. Bluman G W and Cole J D 1974 Similarity Methods for Differential Equations (Berlin: Springer)
6. Clarkson P A and Mansfield E L 1994 SIAM J. Appl. Math 55 1693-719
7. Gandarias M L 1996 J Phys. A: Math. Gen. 29 607-33
8. Gandarias M L 1996 J. Phys. A: Math. Gen. 29 5919-34
9. Gandarias M L 1997 J. Phys. A: Math. Gen. 30 6081-91
10. Gandarias M L, Venero P and Ramírez J 1998 J. Nonlinear Math. Phys. 5 234-44
11. Ibragimov N H 1994 Handbook of Lie Group Analysis of Differential Equations (Boca Raton: CRC)
12. Katkov V L 1965 Zh. Prikl. Mekh. Tekh. Fiz. 6 105
13. Olver P J 1986 Applications of Lie Groups to Differential Equations (Berlin: Springer)
14. Olver P J and Rosenau P 1986 Phys. Lett. A 114 107-12
15. Olver P J and Rosenau P 1987 SIAM J. Appl. Math. 47 263-75