Nonlinear-evolution equations of physical significance

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

Research output: Contribution to journalArticlepeer-review

689 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)125-127
Number of pages3
JournalPhysical review letters
Volume31
Issue number2
DOIs
StatePublished - Jan 1 1973
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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