On the spectral stability of kinks in 2D Klein-Gordon model with parity-time-symmetric perturbation

Denis I. Borisov, Sergey V. Dmitriev

In a series of recent works by Demirkaya et al. stability analysis for the static kink solutions to the 1D continuous and discrete Klein-Gordon equations with a $\mathcal{P}\mathcal{T}$-symm…