Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms

  • Mark J. Ablowitz
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 25)


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.


Singular Point Inverse Scattering Nonlinear Evolution Equation Fredholm Integral Equation Partial Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Mark J. Ablowitz
    • 1
  1. 1.Program in Applied MathematicsUniversity of Colorado at BoulderUSA

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