On nonlinear wave equations with parabolic potentials

2012/05/29 by Komech, Alexander, Kopylova, Elena, Kopylov, Sergey
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1206.6073

Abstract

We introduce a new class of piece-wise quadratic potentials for nonlinear wave equations with a kink solutions. The potentials allow an exact description of the spectral properties for the linearized equation at the kink. This description is necessary for the study of the stability properties of the kinks.

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