Nonlinear-Evolution Equations of Physical Significance

Mark J. Ablowitz, David J. Kaup, Alan C. Newell, and Harvey Segur
Phys. Rev. Lett. 31, 125 – Published 9 July 1973
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Abstract

We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and generalizations.

  • Received 11 April 1973

DOI:https://doi.org/10.1103/PhysRevLett.31.125

©1973 American Physical Society

Authors & Affiliations

Mark J. Ablowitz, David J. Kaup, Alan C. Newell, and Harvey Segur

  • Clarkson College of Technology, Potsdam, New York 13676

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Issue

Vol. 31, Iss. 2 — 9 July 1973

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