Eur. Phys. J. B (2015) 88: 219
https://doi.org/10.1140/epjb/e2015-60537-y

Regular Article

Interaction of exploding dissipative solitons

¹ Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile
² Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany

^a e-mail: odescalzi@miuandes.cl
^b e-mail: brand@uni-bayreuth.de

Received: 1 July 2015
Received in final form: 17 July 2015
Published online: 7 September 2015

Abstract

We investigate the collisions of two counter-propagating exploding dissipative solitons (DSs). We demonstrate that six different outcomes can occur as a function of the nonlinear cross-coupling between the counter-propagating waves: complete interpenetration, one compound exploding DS as well as four types of two compound DSs that can be stationary, have one or two frequencies or are exploding. Since exploding DSs have been observed experimentally predominantly in nonlinear optics, we conjecture that our predictions for their interactions can be tested in laser systems.