# Scattering of kinks of the sinh-deformed $\varphi ^4$ model

The European Physical Journal C, Apr 2018

We consider the scattering of kinks of the sinh-deformed $\varphi ^4$ model, which is obtained from the well-known $\varphi ^4$ model by means of the deformation procedure. Depending on the initial velocity $v_\mathrm {in}$ of the colliding kinks, different collision scenarios are realized. There is a critical value $v_\mathrm {cr}$ of the initial velocity, which separates the regime of reflection (at $v_\mathrm {in}>v_\mathrm {cr}$) and that of a complicated interaction (at $v_\mathrm {in}<v_\mathrm {cr}$) with kinks’ capture and escape windows. Besides that, at $v_\mathrm {in}$ below $v_\mathrm {cr}$ we observe the formation of a bound state of two oscillons, as well as their escape at some values of $v_\mathrm {in}$.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-018-5815-z.pdf

Dionisio Bazeia, Ekaterina Belendryasova, Vakhid A. Gani. Scattering of kinks of the sinh-deformed $\varphi ^4$ model, The European Physical Journal C, 2018, 340, DOI: 10.1140/epjc/s10052-018-5815-z