Eur. Phys. J. C (2019) 79: 620
https://doi.org/10.1140/epjc/s10052-019-7125-5

Regular Article - Theoretical Physics

Multi-kink scattering in the double sine-Gordon model

¹ Department of Mathematics, 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, 117218, Moscow, Russia
³ Young Researchers and Elite Club, Quchan Branch, Islamic Azad University, Quchan, Iran
⁴ Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran

^* e-mail: moradimarjaneh@gmail.com

Received: 23 January 2019
Accepted: 10 July 2019
Published online: 24 July 2019

Abstract

We study collisions of two, three, and four kinks of the double sine-Gordon model. The initial conditions are taken in a special form in order to provide collision of all kinks in one point. We obtain dependences of the maximal energy densities on the model parameter. We also analyze the final states observed in these collisions.