On the orbital stability of standing-wave solutions to a coupled non-linear Klein-Gordon equation

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13 Citations (Scopus)

Abstract

We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption.

Original languageEnglish
Pages (from-to)639-658
Number of pages20
JournalAdvanced Nonlinear Studies
Volume12
Issue number3
DOIs
Publication statusPublished - 2012
Externally publishedYes

Keywords

  • Elliptic systems
  • Orbital stability
  • Standing waves
  • Unbounded domain

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics (all)

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