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Solitons in Physics, Mathematics, and Nonlinear Optics pp 27–43Cite as

Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms

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Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 25))

Abstract

The connection of the classical Painlevé equations with certain nonlinear evolution equations, special solutions, and linearization procedures via the Inverse Scattering and Inverse Monodromy Transform is discussed.

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Author information

Authors and Affiliations

  1. Program in Applied Mathematics, University of Colorado at Boulder, 80303, USA

    Mark J. Ablowitz

Authors
  1. Mark J. Ablowitz
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Peter J. Olver  & David H. Sattinger  & 

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© 1990 Springer-Verlag New York Inc.

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Ablowitz, M.J. (1990). Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms. In: Olver, P.J., Sattinger, D.H. (eds) Solitons in Physics, Mathematics, and Nonlinear Optics. The IMA Volumes in Mathematics and Its Applications, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9033-6_2

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  • DOI: https://doi.org/10.1007/978-1-4613-9033-6_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9035-0

  • Online ISBN: 978-1-4613-9033-6

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