One-dimensional bright discrete solitons in media with saturable nonlinearity
Publication date
2004-06
Document type
Research article
Author
Organisational unit
Technische Universität Clausthal
Scopus ID
Pubmed ID
Publisher
APS
Series or journal
Physical review. E, Statistical, nonlinear, and soft matter physics
ISSN
Periodical volume
69
Part of the university bibliography
Nein
Language
English
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.
Version
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