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

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}) 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}).