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Invertible point transformations,Painlevé test,and the second Painlevé transcendent
Authors:N Euler  W -H Steeb  L G S Duarte  I C Moreira
Institution:(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
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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