ABSTRACT

The concept of a dissipative soliton (DS), which is a strongly localized and stable coherent structure emergent in a nonlinear dissipative system far from the thermodynamic equilibrium, actively developed and became well established. Nonequilibrium character of a system where a DS emerges requires a well-organized energy exchange of DS with an environment. The simulations have allowed finding the DS stability regions for some two-dimensional projections of nonlinear complex Ginzburg-Landau equation parametrical space. The calculations demonstrate that the DS scaling properties for anomalous group-delay dispersion surpass those for a normal one. The chaotic behavior of single DS can be considered in the framework of cubic-quintic CNGLE. The interesting feature of DS spectrum following its energy scaling is an appearance of the so-called “spectral condensate”, when the main power is concentrated within narrow spectral region at the centrum of the spectrum or its edges.