Nonclassical symmetries of a porous medium equation with absorption

Journal of Physics A: Mathematical and General

Volumn 30, Issue 17, 1997, Pages 6081-6091

  Gandarias, Maria Luz ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558442     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/17/017     Document Type: Article

References (60)

1. Alvarez L, Diaz J I and Kersner R 1980 Nonlinear Diffusion Equations and Their Equilibrium States (Berlin: Springer) pp 1-20
2. Akhatov I Sh, Gazizov R K and Ibragimov N H 1991 J. Sov. Math. 55 1401
3. Aronson D G and Gravelau J 1993 Euro. J. Appl. Math. 4 65-81
4. Arrigo D J, Hill J M and Broadbridge P 1994 IMA J. Appl. Math. 52 1-24
5. Arrigo D J, Broadbridge P and Hill JM 1993 J. Math. Phys. 34 4692-703
6. Bertsch M, Kersner R and Peletier L A 1985 Nonlinear Analysis, Theory, Methods and Applications 9 987-1008
7. Bhutani O P and Vijayakumar K 1990 Int. J. Eng. Sci. 28 375-87
8. Bluman G W 1967 Construction of solutions to partial differential equations by the use of transformations groups PhD Thesis Institute of Technology, California
9. Bluman G W and Kumei S 1980 J. Math. Phys. 21 1019
10. Bluman G W and Kumei S 1989 Symmetries and Differential Equations (Berlin: Springer)
11. Bluman G W and Cole J D 1974 Similarity Methods for Differential Equations (Berlin: Springer)
12. Bluman G W 1993 Applications of Analytic and Geometric methods to Nonlinear Differential Equations. (Dordrecht: Kluwer)
13. Bluman G W 1993 Math. Comput. Model. 18 1-14
14. Bluman G W 1993 Lect. Appl. Math. (Providence, RI: American Mathematical Society) pp 97-109
15. Bluman G W 1993 Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics (Dordrecht: Kluwer)
16. Clarkson P A and Kruskal M D 1989 J. Math. Phys. 30 2201-13
17. Clarkson P A 1995 Chaos, Solitons and Fractals 5 2261-301
18. Clarkson P A and Mansfield E L 1993 Physica 70D 250-88
19. Clarkson P A and Mansfield EL 1994 SIAM J. Appl. Math. 55 1693-719
20. Coggeshall S V and Meyer-ter Vehn J 1992 J. Math. Phys. 33 3585-602
21. Dorodnitsyn V A 1982 USSR Comput. Maths. Math. Phys. 22 115-22
22. Englefield M J 1993 Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics (Deventer: Kluwer) pp 203-8
23. Galaktionov V A and Posashkov S A 1989 USSR Comput. Maths. Math. Phys. 29 112-19
24. Galaktionov V A 1990 Diff. Integ. Eqns 3 863-74
25. Gandarias M L 1996 J. Phys. A: Math. Gen. 29 607-33
26. Gandarias M L 1996 J. Phys. A: Math. Gen. 29 5919-34
27. Gilding B H 1982 J. Hydrol. 56 251
28. Gurtin M E and MacCamy R C 1977 Math. Biosci. 33 35-49
29. Hill J M 1992 Differential Equations and Group Methods (Boca Raton, FL: Chemical Rubber Company)
30. Hill J M 1989 J. Eng. Math. 23 141-55
31. Hill D L and Hill J M 1990 J. Eng. Math. 24 109-24
32. Hill J M and Hill D L 1991 J. Eng. Math. 25 287-99
33. Hill J M, Avagliano A J and Edwards M P 1992 IMA J. Appl. Math. 48 283-304
34. Ibragimov N H 1994 Handbook of Lie Group Analysis of Differential Equations (Boca Raton, FL: Chemical Rubber Company)
35. Kalashnikov A S 1974 USSR Comput. Maths. Math. Phys. 14 70-85
36. Katkov V L 1965 Zh. Prikl. Mekh. Tekh. Fiz. 6 105
37. Kersner R 1978 Vestnik Moskovskogo Universitetor Matematika 33 44-51
38. King J R 1990 J. Phys. A: Math. Gen. 23 3681-97
39. King J R 1988 J. Eng. Math. 22 53-72
40. King J R 1991 J. Eng. Math. 25 191-205
41. King J R 1990 J. Phys. A: Math. Gen. 23 5441-64
42. King J R 1991 J. Phys. A: Math. Gen. 24 5721-45
43. King J R 1992 J. Phys. A: Math. Gen. 25 4861-8
44. King J R 1993 Physica 64D 35-65
45. Lacey A A, Ockendon J R and Tayler AB 1982 SIAM J. Appl. Math. 42 1252-64
46. Namba T 1980 J. Theor. Biol. 86 351-63
47. Olver P J 1986 Applications of Lie Groups to Differential Equations (Berlin: Springer)
48. Olver P J and Rosenau P 1986 Phys. Lett. A 114 107-12
49. Olver P J and Rosenau P 1987 SIAM J. Appl. Math. 47 263-75
50. Oron A and Rosenau P 1986 Phys. Lett. 118A 172-6
51. Ovsiannikov L V 1959 Dokl. Acad. Nauk 125 492-5
52. Ovsiannikov L V 1962 Group Properties of Differential Equations (Moscow: Novosibirsk)
53. Ovsiannikov L V 1982 Group Analysis of Differential Equations (New York: Academic)
54. Pucci E 1992 J. Phys. A: Math. Gen. 25 2631
55. Pucci E and Saccomandi G 1993 Modern Group Analysis: Advanced Analytical and Computational Methods In Mathematical Physics (Dordrecht: Kluwer) pp 291-8
56. Rogers C and Ames W F 1989 Nonlinear Boundary Value Problems in Science and Engineering (San Diego, CA: Academic)
57. Rosenau P and Kamin S 1983 Physica 8D 273-83
58. Rosenau P and Schwarzmeier J L 1986 J. Phys. A: Math. Gen. 115 75
59. Stephani H 1989 Differential Equations: Their Solution Using Symmetries (Cambridge: Cambridge University Press)
60. Suhubi E S and Chowdhury K L 1988 Int. J. Eng. Sci. 26 1027-41