Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics

P. G. Kevrekidis, I. Danaila, J. -G. Caputo +1

We consider effectively one-dimensional planar and radial kinks in two-dimensional nonlinear Klein-Gordon models and focus on the sine-Gordon model and the ${\varphi }^4$ variants thereof.…