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NONLINEAR EVOLUTION EQUATIONS AND THE PAINLEVÉ TEST

Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University, PO Box 524, Johannesburg 2000, South Africa

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and

N. EULER

Department of Applied Mathematics and Nonlinear Studies, Rand Afrikaans University, PO Box 524, Johannesburg 2000, South Africa

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https://doi.org/10.1142/S0217751X92000727Cited by:1 (Source: Crossref)

Abstract

A survey is given of new results of the Painlevé test and nonlinear evolution equations where ordinary- and partial-differential equations are considered. We study the semiclassical Jaynes-Cumming model, the energy-eigenvalue-level-motion equation, the Kadomtsev-Petviashvili equation, the nonlinear Klein-Gordon equation and the self-dual Yang-Mills equation.