Published December 11, 2009 | Version v1
Journal article Metadata-only

On a class of solutions of the sine-Gordon equation

Creators

  • 1. Department of Mathematics, University of Alberta Edmonton, Alberta, T6G 2G1 (Canada)

Description

In this paper, we consider solutions of the sine-Gordon equation that are nonlinear analogs of solutions of the Klein-Gordon equation. Just like the latter may be combined together by means of the Fourier integral to form more complicated solutions of the Klein-Gordon equation, the former may also interact to produce more complicated solutions of the sine-Gordon equation by means of a nonlinear analog of the Fourier integral also derived in the paper.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/49/495207

Additional details

Identifiers

DOI
10.1088/1751-8113/42/49/495207;
PII
S1751-8113(09)30775-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
49
Journal Page Range
[28 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41054051
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
INTEGRALS; KLEIN-GORDON EQUATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SINE-GORDON EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS