In this chapter we review recent results concerning localized and extended dissipative solutions of the discrete complex Ginzburg-Landau equation. In particular, we discuss discrete diffraction effects arising both from linear and non-linear properties, the existence of self-localized dissipative solitons in the presence of cubic-quintic terms and modulational instability induced by saturable nonline-arities. Dynamical stability properties of localized and extended dissipative dis-crete solitons are also discussed.
Discrete Solitons of the Ginzburg-Landau Equation
Mario Salerno
Membro del Collaboration Group
;
2022-01-01
Abstract
In this chapter we review recent results concerning localized and extended dissipative solutions of the discrete complex Ginzburg-Landau equation. In particular, we discuss discrete diffraction effects arising both from linear and non-linear properties, the existence of self-localized dissipative solitons in the presence of cubic-quintic terms and modulational instability induced by saturable nonline-arities. Dynamical stability properties of localized and extended dissipative dis-crete solitons are also discussed.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
