Creeping solitons in dissipative systems and their bifurcations

We present a detailed numerical study of creeping solitons in dissipative systems. A bifurcation diagram has been constructed for the region of transition between solitons and fronts. It shows a rich variety of transitions between various types of localized solutions. For the first time, we have found a sequence of period-doubling bifurcations of creeping solitons, and also a symmetry-breaking instability of creeping solitons. Creeping solitons may involve many frequencies in their dynamics, and this can result, in particular, in a multiplicity of zig-zag motions

Influence of external phase and gain-loss modulation on bound solitons in laser systems

4openopenChang, W.; Akhmediev, N.; Wabnitz, Stefan; Taki, M.W., Chang; N., Akhmediev; Wabnitz, Stefan; M., Tak

Dissipative soliton resonances in laser models with parameter management

Dissipative soliton resonance (DSR) is a phenomenon where the energy of a soliton in a dissipative system increases without limit at certain values of the system parameters. We have found that the DSR phenomenon is robust and does not disappear when perturbations are introduced into the model. In particular, parameter management is benign to DSR: the resonance property remains intact even when a pulse experiences periodic changes of system parameters in a laser cavity. We also show that high energy pulses emerging from a laser cavity can be compressed to shorter durations with the help of linear dispersive devices.The work was supported by the Australian Research Council (Discovery Project scheme DP0663216). J. M. Soto-Crespo acknowledges support from the Ministerio de Educación y Cultura under contract FIS2006-03376

Observation of Coexisting Dissipative Solitons in a Mode-Locked Fiber Laser

We show, experimentally and numerically, that a mode-locked fiber laser can operate in a regime where two dissipative soliton solutions coexist and the laser will periodically switch between the solutions. The two dissipative solitons differ in their pulse energy and spectrum. The switching can be controlled by an external perturbation and triggered even when switching does not occur spontaneously. Numerical simulations unveil the importance of the double-minima loss spectrum and nonlinear gain to the switching dynamics

Ionization-induced asymmetric self-phase modulation and universal modulational instability in gas-filled hollow-core photonic crystal fibers

We study theoretically the propagation of relatively long pulses with ionizing intensities in a hollow-core photonic crystal fiber filled with a Raman-inactive gas. Due to photoionization, previously unknown types of asymmetric self-phase modulation and `universal' modulational instabilities existing in both normal and anomalous dispersion regions appear. We also show that it is possible to spontaneously generate a plasma-induced continuum of blueshifting solitons, opening up new possibilities for pushing supercontinuum generation towards shorter and shorter wavelengths.Comment: 5 pages, 4 figure

Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes

Prigogine's ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J. Chem. Phys.48, 1695-1700 (doi:10.1063/1.1668896); Glansdorff & Prigogine. 1971 Thermodynamic theory of structures, stability and fluctuations. New York, NY/London, UK: Wiley) deeply influenced physics, and soliton science in particular. These ideas allowed the notion of solitons to be extended from purely integrable cases to the concept of dissipative solitons. The latter are qualitatively different from the solitons in integrable and Hamiltonian systems. The variety in their forms is huge. In this paper, one recent example is considered-dissipative solitons with extreme spikes (DSESs). It was found that DSESs exist in large regions of the parameter space of the complex cubic-quintic Ginzburg-Landau equation. A continuous variation in any of its parameters results in a rich structure of bifurcations. This article is part of the theme issue 'Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)'.The work of J.M.S.-C. was supported by MINECO under contract TEC2015-71127-C2-1-R, and by C.A.M. under contract S2013/MIT-2790. The three authors, P.V., W.C. and N.A., acknowledge the support of the Australian Research Council (DE130101432 and DP150102057). J.M.S.-C. and N.A. also acknowledge the support of the Volkswagen Foundation