Discrete Solitons of the Ginzburg-Landau Equation

2021/03/25 by Salerno, Mario, Abdullaev, Fatkhulla Kh.
#FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2103.14004

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 nonlinear properties, the existence of self-localized dissipative solitons in the presence of cubic-quintic terms and modulational instability induced by saturable nonlinearities. Dynamical stability properties of localized and extended dissipative discrete solitons are also discussed.

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