Nonlinear-evolution equations of physical significance

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

Research output: Contribution to journalArticlepeer-review

818 Scopus citations


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
Issue number2
StatePublished - 1973

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Nonlinear-evolution equations of physical significance'. Together they form a unique fingerprint.

Cite this