PMID: 15244775Jul 13, 2004Paper

One-dimensional bright discrete solitons in media with saturable nonlinearity

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Milutin StepićAleksandra Maluckov

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.

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Citations

Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Avinash KhareAvadh Saxena
Oct 10, 2006·Physical Review Letters·T R O MelvinJ Cuevas
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O F Oxtoby, I V Barashenkov
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aleksandra MaluckovBoris A Malomed
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergey V DmitrievLjupćo Hadzievski
Apr 19, 2011·Optics Letters·Uta NaetherMilutin Stepić
Jul 13, 2006·Optics Letters·Eugene SmirnovVladimir Shandarov
Jun 17, 2018·Physical Review. E·Fatkhulla Kh Abdullaev, Mario Salerno
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aleksandra MaluckovBoris A Malomed
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rodrigo A Vicencio, Magnus Johansson
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A MaluckovG P Tsironis
Oct 21, 2020·Physical Review. E·Marija Stojanović KrasićMilutin Stepić
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E P FitrakisD J Frantzeskakis
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Uta NaetherMagnus Johansson

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