Orbitally stable standing-wave solutions to a coupled non-linear Klein-Gordon equation

Research output: Chapter in Book/Conference proceedingBook Chapterpeer-review

Abstract

We outline some results on the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Standing-waves are obtained as minimizers of the energy under a two-charges constraint. The ground state is stable. The standing-waves are stable provided a non-degeneracy condition is satis ed.
Original languageEnglish
Title of host publicationNonlinear dynamics in partial differential equations
EditorsShin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi
Place of PublicationTokyo
PublisherMathematical Society of Japan, Tokyo
Pages387-398
Number of pages12
Volume64
ISBN (Print)9784864970235
Publication statusPublished - Apr 2015

Publication series

NameAdvanced Studies in Pure Mathematics

Keywords

  • Lyapunov function
  • non-linear Klein–Gordon
  • orbital stability
  • standing-waves

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

Fingerprint

Dive into the research topics of 'Orbitally stable standing-wave solutions to a coupled non-linear Klein-Gordon equation'. Together they form a unique fingerprint.

Cite this