title: One-dimensional bright discrete solitons in media with saturable nonlinearity.
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.
authors.affiliation: Institute of Physics and Physical Technologies, Technical University of Clausthal, D-38678 Clausthal-Zellerfeld, Germany. milutin.stepic@tu-clausthal.de
authors.forename: Milutin
authors.initials: M
authors.lastname: Stepić
authors.forename: Detlef
authors.initials: D
authors.lastname: Kip
authors.forename: Ljupco
authors.initials: L
authors.lastname: Hadzievski
authors.forename: Aleksandra
authors.initials: A
authors.lastname: Maluckov