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arXiv · 2103.14004

Discrete Solitons of the Ginzburg-Landau Equation

Mario Salerno·Fatkhulla Kh. Abdullaev
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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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Mario Salerno, Fatkhulla Kh. Abdullaev. 2021-03-25. Discrete Solitons of the Ginzburg-Landau Equation. https://arxiv.org/abs/2103.14004

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