Transformation Properties of

Journal of Nonlinear Mathematical Physics

Volumn 4, Issue 3-4, 1997, Pages 310-337

  Euler, Norbert ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013009596     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1997.4.3-4.7     Document Type: Article

References (17)

1. Duarte, L.G.S., Duarte, S.E.S., and Moreira, I.C., 1987. One-dimensional equations with the maximum number of symmetry generators. J. Phys. A:Math. Gen., 20:L701–L704.
2. Duarte, L.G.S., Euler, N., Moreira, I.C., and Steeb, W.-H., 1990. Invertible point transformations, Painlevé analysis and anharmonic oscillators. J. Phys. A:Math. Gen., 23:1457–1467.
3. Duarte, L.G.S., Moreira, I.C., Euler, N., and Steeb, W.-H., 1991. Invertible Point transformations, Lie Symmetries and the Painlevé test for the equation. Physica Scripta, 43:449–451.
4. Duarte, L.G.S., Moreira, I.C., and Santos, F.C., 1994. Linearization under non-point transformations. J. Phys. A:Math. Gen., 27:L739–L743.
5. Euler, M., Euler, N., and Köhler, A., 1994. On the construction of approximate solutions for a multidimensional nonlinear heat equation. J. Phys. A:Math. Gen., 27:2083–2092.
6. Euler, N., Steeb, W.-H., and Cyrus, K., 1989. On exact solutions for damped anharmonoc oscillators. J. Phys. A:Math. Gen., 22:L195–L199.
7. Euler, N., Steeb, W.-H., Duarte, L.G.S., and Moreira, I.C., 1991. Invertible point transformations, Painlevé test, and the second Painlevé transcendent. Int. J. Theor. Phys, 30:1267–1271.
8. Fushchych, W.I., Shtelen, W.M., and Serov, N.I., 1993. Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics, Dordrecht:Kluwer.
9. Leach, P.G.L., 1985. First integrals for the modified Emden equation. J. Math. Phys, 26:2510–2514.
10. Leach, P.G.L., and Maharaj, S.D., 1992. A first integral for a class of time-dependent anharmonic oscillators with multiple anharmonicities. J. Math. Phys., 33:2023–2030.
11. Moreira, I.C., 1990. Europhys. Lett, 12:391
12. Olver, P.J., 1986. Applications of Lie Groups to Differential Equations, New York:Springer.
13. Sarlet, W., Mahomed, F.M., and Leach, P.G.L., 1987. Symmetries of non-linear differential equations and linearization. J. Phys. A:Math. Gen., 20:277–292.
14. Steeb, W.-H., 1993. Invertible Point Transformations and Nonlinear Differential Equations, Singapore:World Scientific.
15. Steeb, W.-H., 1996. Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra, Singapore:World Scientific.
16. Steeb, W.-H., and Euler, N., 1988. Nonlinear Evolution Equations and Painlevé Test, Singapore:World Scientific.
17. Tresse, M.A., 1896. Determination des invariants puctuels de l’equation differentielle ordinaire de second orde, Leipzig:Hirzel.