English

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

High Energy Physics - Theory 2018-05-01 v2 Materials Science Mathematical Physics math.MP Pattern Formation and Solitons

Abstract

We consider the scattering of kinks of the sinh-deformed φ4\varphi^4 model, which is obtained from the well-known φ4\varphi^4 model by means of the deformation procedure. Depending on the initial velocity vinv_{in} of the colliding kinks, different collision scenarios are realized. There is a critical value vcrv_{cr} of the initial velocity, which separates the regime of reflection (at vin>vcrv_{in}>v_{cr}) and that of a complicated interaction (at vin<vcrv_{in}<v_{cr}) with kinks' capture and escape windows. Besides that, at vinv_{in} below vcrv_{cr} we observe the formation of a bound state of two oscillons, as well as their escape at some values of vinv_{in}.

Keywords

Cite

@article{arxiv.1710.04993,
  title  = {Scattering of kinks of the sinh-deformed $\varphi^4$ model},
  author = {Dionisio Bazeia and Ekaterina Belendryasova and Vakhid A. Gani},
  journal= {arXiv preprint arXiv:1710.04993},
  year   = {2018}
}

Comments

23 pages, 12 figures; v2: minor changes to match version published in EPJ C