Discrete Spatial Optical Solitons in Waveguide Arrays

Interaction of moving discrete breathers with vacancies

“…On the contrary, they can be found, in principle, in any discrete, nonlinear system and in any dimension [3,4]. They have been observed in experiments involving different systems, as Josephson-junctions arrays [5,6], waveguide arrays [7,8], molecular crystals [9] and antiferromagnetic systems [10]. They are also thought to play an important role in DNA denaturation [11].…”

Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity

“…By assigning special values to the arbitrary parameters in the expressions (15) and (17), it is possible to derive some specific exact solutions as follows:…”

“…It arises in nonlinear optics as a model of infinite wave guide arrays [15] and has been recently implemented to describe Bose-Einstein condensates in optical lattices [16]. The class of DNSE models with saturable nonlinearity is also of particular interest in their own right, due to a feature first unveiled in [17].…”

Continuation of periodic solutions in the waveguide array mode-locked laser

“…Optical nonlinear mode-coupling (NLMC) is a well-established phenomenon that has been both experimentally verified [10][11][12][13][14] and theoretically characterized [15][16][17]. NLMC has been an area of active research in all-optical switching and signal processing applications using waveguide arrays [11][12][13][14], dual-core fibers [10,15,16], and fiber arrays [18,19].…”

“…NLMC has been an area of active research in all-optical switching and signal processing applications using waveguide arrays [11][12][13][14], dual-core fibers [10,15,16], and fiber arrays [18,19]. It is only recently that the temporal pulse shaping associated with NLMC has been theoretically proposed for the passive intensity-discrimination element in a mode-locked fiber laser [2,3].…”