Nonlinear Effects in Photonic Materials - Abstract

Akhmediev, Nail

Vibrating and shaking soliton pairs in dissipative systems

Coupled soliton pairs in nonlinear dissipative systems modeled by the cubic-quintic complex Ginzburg-Landau equation can exist in various forms. They can be stationary, pulsating periodically, quasiperiodically or chaotically, the same way as single solitons. In particular, there are new types of vibrating and shaking soliton pairs. Each type is stable in the sense that a given bound state exists in the same form indefinitely. New solutions appear at special values of equation parameters thus bifurcating from stationary pairs. There are also mixed soliton pairs, formed by two different types of single solitons.