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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015