Physical Sciences and Mathematics Commons^™

Kink Scattering From A Parity-Time-Symmetric Defect In The Φ 4 Model, Danial Saadatmand, Sergey V. Dmitriev, D. I. Borisov, Panayotis G. Kevrekidis, Minnekhan A. Fatykhov, Kurosh Javidan

Mathematics and Statistics Department Faculty Publication Series

In this paper, we study the ϕ⁴ kink scattering from a spatially localized PT-symmetric defect and the effect of the kink’s internal mode (IM) is discussed. It is demonstrated that if a kink hits the defect from the gain side, a noticeable IM is excited, while for the kink coming from the opposite direction the mode excitation is much weaker. This asymmetry is a principal finding of the present work. Similar to the case of the sine-Gordon kink studied earlier, it is found that the ϕ⁴ kink approaching the defect from the gain side always passes through the …