Title: | One-dimensional bright discrete solitons in media with saturable nonlinearity | Authors: | Stepić, Milutin Kip, Detlef Hadžievski, Ljupčo Maluckov, Aleksandra |
Language: | eng | 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 | 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 | ISSN: | 1539-3755 | Verlags-DOI: | 10.1103/PhysRevE.69.066618 |
Appears in Collections: | 6 - Publication references (without fulltext) of your publications before HSU |
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