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Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity

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We obtain explicit characterization of orbital and spectral stability of solitary wave solutions to the \begin{document}$ {\bf{U}}(1) $\end{document} -invariant 1D Klein–Gordon equation coupled to an anharmonic oscillator. We also give… Click to show full abstract

We obtain explicit characterization of orbital and spectral stability of solitary wave solutions to the \begin{document}$ {\bf{U}}(1) $\end{document} -invariant 1D Klein–Gordon equation coupled to an anharmonic oscillator. We also give the complete analysis of the spectrum of the linearization at a solitary wave.

Keywords: gordon equation; stability spectral; klein gordon; orbital stability

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2021

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