Exploding dissipative solitons in reaction-diffusion systems.
We show that exploding dissipative solitons can arise in a reaction-diffusion system for a range of parameters. As a function of a vorticity parameter, we observe a sequence of transitions from oscillatory localized states via meandering dissipative solitons to exploding dissipative solitons propagating in one direction for long times followed by the reverse cascade back to oscillatory localized states. While exploding dissipative solitons are known from the cubic-quintic complex Ginzburg-Landau (CGL) equation, propagating exploding dissipative solitons appear to require for their existence a system of lower symmetry such as the reaction-diffusion model studied here.
Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile and Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany.
Orazio
O
Descalzi
Nail
N
Akhmediev
Helmut R
HR
Brand
D004058:Diffusion; D007700:Kinetics; D008962:Models, Theoretical