Invertible point transformations,Painlevé test,and the second Painlevé transcendent |
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| Authors: | N. Euler W. -H. Steeb L. G. S. Duarte I. C. Moreira |
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| Affiliation: | (1) Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University, 2000 Johannesburg, South Africa;(2) Instituto de Fisica, Universidade Federal do Rio de Janeiro, Cidade Universitaria Rio de Janeiro, Brazil |
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| Abstract: | The techniques of invertible point transformations and the Painlevé analysis can be used to construct integrable ordinary differential equations. We compare both techniques for the second Painlevé transcendent. |
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