Solitons for the nonlinear Klein-Gordon equation

  title={Solitons for the nonlinear Klein-Gordon equation},
  author={Jacopo Bellazzini and Vieri Benci and Claudio Bonanno and Anna Maria Micheletti},
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. 

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