Title: One-dimensional bright discrete solitons in media with saturable nonlinearity
Authors: Stepić, Milutin
Kip, Detlef  
Hadžievski, Ljupčo
Maluckov, Aleksandra
Language: en
Subject (DDC): DDC::500 Naturwissenschaften und Mathematik
Issue Date: Jun-2004
Publisher: APS
Document Type: Article
Journal / Series / Working Paper (HSU): Physical review. E, Statistical, nonlinear, and soft matter physics 
Volume: 69
Pages: 7 S.
Publisher Place: College Park, MD
Abstract: 
A problem of pulse propagation in a homogeneous nonlinear waveguide array with saturable nonlinearity is studied. The corresponding model equation is the discretized Vinetskii-Kukhtarev equation with neglected influence of diffusion of charge carriers. For periodic boundary conditions, exact homogeneous and oscillating stationary solutions are found. A wide instability region of the homogeneous, array-independent solution is identified. An approximate analytical solution for the bright one-dimensional discrete soliton where the energy is concentrated mainly in a few waveguides is obtained. The soliton stability is investigated both analytically and numerically and a cascade nature of the saturation mechanism is revealed.
Organization Units (connected with the publication): Technische Universität Clausthal
URL: https://api.elsevier.com/content/abstract/scopus_id/85036409697
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.69.066618
Appears in Collections:Publications of the HSU Researchers (before HSU)

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