Publication Date
2014
Abstract
In the present work, we introduce a new PT -symmetric variant of the Klein-Gordon field theoretic problem. We identify the standing wave solutions of the proposed class of equations and analyze their stability. In particular, we obtain an explicit frequency condition, somewhat reminiscent of the classical VakhitovKolokolov criterion, which sharply separates the regimes of spectral stability and instability. Our numerical computations corroborate the relevant theoretical result
Pages
12 pp.
Recommended Citation
Demirkaya, Aslihan; Kevrekidis, Panayotis G.; Stanislavova, Milena; and Stefanov, Atanas, "Spectral Stability Analysis for Standing Waves of a Perturbed Klein-Gordon Equation" (2014). Mathematics and Statistics Department Faculty Publication Series. 1260.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1260
Comments
Arxiv preprint uploaded.