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Solitons for the nonlinear Klein-Gordon equation

Bellazzini, Jacopo and Benci, Vieri and Bonanno, Claudio and Micheletti, Anna Maria (2010) Solitons for the nonlinear Klein-Gordon equation. Advanced Nonlinear Studies, Vol. 10 (2), p. 481-499. ISSN 1536-1365. Article.

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Abstract

In this paper we study existence and orbital stability for solitary waves of the nonlinear Klein-Gordon equation. The energy of these solutions travels as a localized packet, hence they are a particular type of solitons. In particular we are interested in sufficient conditions on the potential for the existence of solitons. Our proof is based on the study of the ratio energy/charge of a function, which turns out to be a useful approach for many field equations.

Item Type:Article
ID Code:6928
Status:Published
Refereed:Yes
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:001 Università di Sassari > 01 Dipartimenti > Scienze botaniche, ecologiche e geologiche
Publisher:Advanced Nonlinear Studies
ISSN:1536-1365
Deposited On:10 Jan 2012 11:08

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