Resonant interaction of $\phi^4$ kink with spatially periodic $\mathcal{PT}$-symmetric perturbation

  title={Resonant interaction of \$\phi^4\$ kink with spatially periodic \$\mathcal\{PT\}\$-symmetric perturbation},
  author={Danial Saadatmand and Denis I. Borisov and Panayotis G. Kevrekidis and Kun Zhou and Sergey V. Dmitriev},
  journal={arXiv: Pattern Formation and Solitons},
7 Citations

Scattering of the asymmetric $$\phi ^6$$ kinks from a $${\mathcal{PT}\mathcal{}}$$-symmetric perturbation: creating multiple kink–antikink pairs from phonons

: Interaction of asymmetric φ 6 kinks with a spatially localized PT -symmetric perturbation is investigated numerically. It has been shown that when the kink (antikink) hits the defect from the gain

Non-symmetric kinks in Klein-Gordon chains free of the Peierls-Nabarro potential

There exist several approaches to discretize Klein-Gordon field equations in a way that static kink solutions can be obtained from a two-point map, iteratively, starting from any admissible initial

Scattering between wobbling kinks

In this paper the scattering between a wobbling kink and a wobbling antikink in the standard ${\ensuremath{\phi}}^{4}$ model is numerically investigated. The dependence of the final velocities,

A new look at the double sine-Gordon kink-antikink scattering

We study the kink-antikink scattering within the double sine-Gordon model. In the numerical simulations we found a critical value vcr of the initial velocity vin, which separates two different