Nonlinear-Evolution Equations of Physical Significance
Physical Review LettersPublished 9 July 1973
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell, Harvey Segur
Citations1,077
SJR quartileQ1
SJR score2.86
SNIP2.41
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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.
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