https://doi.org/10.1140/epjc/s10052-018-5813-1
Regular Article - Theoretical Physics
Scattering of the double sine-Gordon kinks
1
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia
2
Theory Department, National Research Center Kurchatov Institute, Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia
3
Young Researchers and Elite Club, Quchan Branch, Islamic Azad University, Quchan, Iran
4
Department of Physics, Faculty of Science, University of Hormozgan, P.O.Box 3995, Bandar Abbas, Iran
5
Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran
* e-mail: vagani@mephi.ru
** e-mail: moradimarjaneh@gmail.com
Received:
2
December
2017
Accepted:
17
April
2018
Published online:
28
April
2018
We study the scattering of kink and antikink of the double sine-Gordon model. There is a critical value of the initial velocity of the colliding kinks, which separates different regimes of the collision. At
we observe kinks reflection, while at
their interaction is complicated with capture and escape windows. We obtain the dependence of
on the parameter of the model. This dependence possesses a series of local maxima, which has not been reported by other authors. At some initial velocities below the critical value we observe a new phenomenon – the escape of two oscillons in the final state. Besides that, at
we found the initial kinks’ velocities at which the oscillons do not escape, and the final configuration looks like a bound state of two oscillons.
© The Author(s), 2018