How to find discrete contact symmetries

Journal of Nonlinear Mathematical Physics

Volumn 5, Issue 4, 1998, Pages 405-416

  Hydon, Peter E ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141750991     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1998.5.4.7     Document Type: Article

References (15)

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3. Crawford, J.D., Golubitsky, M., Gomes, M.G.M., Knobloch, E., and Stewart, I.N., 1991. “Boundary Conditions as Symmetry Constraints”. In Singularity Theory and its Applications, Edited by:Roberts, M., and Stewart, I., 63–79. Berlin:Springer. Warwick 1989, part II
4. Dorodnitsyn, V., 1993. “Finite Difference Methods Entirely Inheriting the Symmetry of the Original Equations”. In Modern Group Analysis:Advanced Analytical and Computational Methods in Mathematical Physics, Edited by:Ibragimov, N.H., Torrisi, M., and Valenti, A., 191–201. Dordrecht:Kluwer.
5. Gaeta, G., and Rodríguez, M.A., 1996. Determining Discrete Symmetries of Differential Equations. Nuovo Cimento, 111B:879–891.
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7. Hydon, P.E., 1998. Discrete Point Symmetries of Ordinary Differential Equations. Proc. Roy. Soc. Lond. A, (in press)
8. Hydon, P.E., Uniform Contact Symmetries of Ordinary Differential Equations (in preparation)
9. Hydon, P.E., Discrete Symmetries and Equivalence Transformations of Partial Differential Equations (in preparation)
10. McLachlan, R.I., Quispel, G.R.W., and Turner, G.S., 1998. Numerical Integrators that Preserve Symmetries and Reversing Symmetries. SIAM J. Numer. Anal., 35:586–599.
11. Olver, P.J., 1986. Applications of Lie Groups to Differential Equations, New York:Springer.
12. Ovsiannikov, L.V., 1982. Group Analysis of Differential Equations, New York:Academic.
13. Reid, G.J., Weih, D.T., and Wittkopf, A.D., 1993. A Point Symmetry Group of a Differential Equation which Cannot be Found Using Infinitesimal Methods, in Modern Group Analysis:Advanced Analytical and Computational Methods in Mathematical Physics, Edited by:Ibragimov, N.H., Torrisi, M., and Valenti, A., 311–316. Dordrecht:Kluwer.
14. Stephani, H., 1989. Differential Equations:Their Solution Using Symmetries, Cambridge:Cambridge University Press.
15. Svirshchevskii, S.R., 1994. “Evolution Equations I:Diffusion Equations”. In CRC Handbook of Lie Group Analysis of Differential Equations, Edited by:Ibragimov, N.H., 102–176. Boca Raton:CRC Press.