Solitons for the Nonlinear Klein-Gordon Equation

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Solitons for the Nonlinear Klein-Gordon Equation ; volume:10 ; number:2 ; year:2010 ; pages:481-499 ; extent:19
Advanced nonlinear studies ; 10, Heft 2 (2010), 481-499 (gesamt 19)

Creator
Bellazzini, J.
Benci, V.
Bonanno, C.
Micheletti, A.M.

DOI
10.1515/ans-2010-0211
URN
urn:nbn:de:101:1-2405021659040.112868965967
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:00 AM CEST

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Associated

  • Bellazzini, J.
  • Benci, V.
  • Bonanno, C.
  • Micheletti, A.M.

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