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Discrete Ginzburg-Landau Solitons

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Dissipative Solitons

Part of the book series: Lecture Notes in Physics ((LNP,volume 661))

Abstract

In this chapter, we present a review of recent results concerning dissipative lattices of the Ginzburg-Landau type. Firstly, we study effects such as complex discrete diffraction, as well as Bloch oscillations, arising from the linear properties of such systems. Subsequently, using a generic cubic-quintic nonlinearity, we identify self-localized dissipative discrete soliton solutions, and study their characteristics.

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Authors and Affiliations

  1. School of Optics, Center for Research and Education for Laser and Optics University of Central Florida, 4000 Central Florida Blvd., Orlando, FL., U.S.A.

    N.K. Efremidis & D.N. Christodoulides

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  1. N.K. Efremidis
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  2. D.N. Christodoulides
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Nail Akhmediev Adrian Ankiewicz

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Efremidis, N., Christodoulides, D. Discrete Ginzburg-Landau Solitons. In: Akhmediev, N., Ankiewicz, A. (eds) Dissipative Solitons. Lecture Notes in Physics, vol 661. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10928028_12

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