Perturbed lie symmetry and systems of non-linear diffusion equations

Journal of Nonlinear Mathematical Physics

Volumn 3, Issue 1-2, 1996, Pages 130-138

  Wiltshire, R J ^a  

^a UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747330000     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1996.3.1-2.12     Document Type: Article

References (8)

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4. Wiltshire, R.J., 1994. The use of Lie transformation groups in the solution of the coupled diffusion equation. J. Phys. A:Math. Gen., 27:7821–7829.
5. Hill, J.M., 1992. Differential Equations and Group Methods, (Boca Raton, FL:Chemical Rubber Company)
6. Fushchych, W.I., and Shtelen, W.M., 1989. On approximate symmetry and approximate solutions of the non-linear wave equation with a small parameter. J. Phys. A:Math. Gen., 22:L887–L890. Fushchych W., Shtelen W. and Serov N., Symmetry Analysis and Exact Solutions of Equations of Non-linear Mathematical Physics, Dordrecht, Kluwer Academic Publishers, 1993, 430p. (Russian version, 1989, Naukova dumka)
7. Baikov, V.A., Gazizov, R.K., and Ibragimov, N. KH., 1991. Approximate symmetries and conservation laws. Proc. Sheklov Inst. Math., 200:35–47.
8. Baikov, V.A., Gazizov, R.K., and Ibragimov, N. KH., 1991. Perturbation methods in group analysis. Jnl. of Soviet Math., 55:1450–1491. part 1