Extreme Waves in Dissipative Systems

Abstract

The research focus of this dissertation is the generation of pulses with extreme characteristics. The presented pulses possess self-organising dynamics.

The new extreme wave dynamics is demonstrated using numerical simulations of the well-established cubic-quintic complex Ginzburg-Landau equation (CQCGLE).

The CQCGLE models highly nonlinear regimes of wave propagation in media with gain and loss applicable to laser operation.

The study reveals rich bifurcation structure of localised CQCGLE solutions in both the anomalous and the normal dispersion regimes.

Notably, the discovery of spiny solitons offers new insight into the nature of dissipative systems.

These types of extreme wave dynamics may have essential applications in laser science. Show more