Nonlinear-evolution equations of physical significance

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

doi:10.1103/PhysRevLett.31.125

Nonlinear-evolution equations of physical significance

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

Research output: Contribution to journal › Article › peer-review

861 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 language	English (US)
Pages (from-to)	125-127
Number of pages	3
Journal	Physical review letters
Volume	31
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.31.125
State	Published - 1973
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.31.125

Cite this

@article{52a94c0de63b4b609f1fafa7ef400cb9,

title = "Nonlinear-evolution equations of physical significance",

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.",

author = "Ablowitz, {Mark J.} and Kaup, {David J.} and Newell, {Alan C.} and Harvey Segur",

year = "1973",

doi = "10.1103/PhysRevLett.31.125",

language = "English (US)",

volume = "31",

pages = "125--127",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Nonlinear-evolution equations of physical significance

AU - Ablowitz, Mark J.

AU - Kaup, David J.

AU - Newell, Alan C.

AU - Segur, Harvey

PY - 1973

Y1 - 1973

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=14944339642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14944339642&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.31.125

DO - 10.1103/PhysRevLett.31.125

M3 - Article

AN - SCOPUS:14944339642

SN - 0031-9007

VL - 31

SP - 125

EP - 127

JO - Physical review letters

JF - Physical review letters

IS - 2

ER -

Nonlinear-evolution equations of physical significance

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this