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Painlevé Tests, Singularity Structure and Integrability

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Integrability

Part of the book series: Lecture Notes in Physics ((LNP,volume 767))

Abstract

After a brief introduction to the Painlevé property for ordinary differential equations, we present a concise review of the various methods of singularity analysis which are commonly referred to as Painlevé tests. The tests are applied to several different examples, and the connection between singularity structure and integrability of ordinary and partial differential equations is discussed.

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  1. Institute of Mathematics & Statistics, University of Kent, Canterbury, CT2 7NF, UK

    A.N.W. Hone

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  1. School of Mathematics Applied Mathematics Department, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT, United Kingdom

    Alexander V. Mikhailov

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Hone, A. (2009). Painlevé Tests, Singularity Structure and Integrability. In: Mikhailov, A.V. (eds) Integrability. Lecture Notes in Physics, vol 767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88111-7_8

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