Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform

  • Mark J. Ablowitz
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 75)


In recent years there has been considerable attention devoted to a new and rapidly developing area of mathematical physics, namely the Inverse Scattering Transform (I.S.T. for short). This method has allowed us to solve certain physically interesting nonlinear evolution equations. By now there are a number of review articles [for example, see Scott et al, 1973; Miura, 1976; Ablowitz, 1978] on this subject as well as some new books [for example, see Zakharov et al, 1980; Ablowitz and Segur, to appear], all of which contain numerous references.


Inverse Scattering Nonlinear Evolution Equation Stratify Fluid Finite Depth Inverse Scattering Problem 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • Mark J. Ablowitz
    • 1
  1. 1.Department of Mathematics and Computer ScienceClarkson College of TechnologyPotsdamUSA

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