Published September 1977 | Version v1
Journal article

Pure soliton solutions of some nonlinear partial differential equations

  • 1. Gesamthochschule Paderborn (Germany, F.R.). Fachbereich Mathematik, Informatik

Description

A general approach is given to obtain the system of ordinary differential equations which determines the pure soliton solutions for the class of generalized Korteweg-de Vries equations. This approach also leads to a system of ordinary differential equations for the pure soliton solutions of the sine-Gordon equation. (orig.)

Abstract (German)

Es wird eine allgemeine Naeherung angegeben, um das System von gewoehnlichen Differentialgleichungen zu erhalten, das die reinen Solitonloesungen fuer die Klasse von verallgemeinerten Korteweg-de Vries-Gleichungen festlegt. Diese Naeherung fuehrt zusaetzlich zu einem System von gewoehnlichen Differentialgleichungen fuer die reinen Solitonloesungen der Sine-Gordon-Gleichung. (orig.)

Additional details

Identifiers

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
55
Journal Issue
3
Series
Commun. Math. Phys.
Journal Page Range
187-194
ISSN
0010-3616

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
9353076
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; SINE-GORDON EQUATION; SOLITONS; TIME DEPENDENCE
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; QUASI PARTICLES

Optional Information

Notes
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