Energy Localization in Nonlinear Fiber Arrays: Collapse-Effect Compressor

Reduced-Symmetry Two-Dimensional Solitons in Photonic Lattices

“…In 2D lattices, the broad beams are often susceptible to collapse instability, as their width gradually decreases due to self-focusing when the input power slightly exceeds the threshold for the soliton formation [14]. We find that for reduced-symmetry states, the collapse is arrested when the beam becomes confined to a single lattice site in the y direction, effectively reducing the dimensionality to a quasi-1D system where collapse does not occur, similar to pulse dynamics in fiber arrays [22]. The process of localization of the optical beam with increasing of the laser power is summarized in Fig.…”

Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method

“…Eq. (9) was established by using the inverse scattering method [53], and has many interesting rich mathematical properties and physical applications including dynamics of an harmonic lattice [54], self-trapping on a dimer [4], and pulse dynamics in nonlinear optics [55]. The authors [56][57][58][59] successfully studied Eq.…”

Collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices

“…The concept of surface solitons has been recently extended to cover spatiotemporal surface solitons [35,36] described by the continuous-discrete nonlinear equations similar to those investigated earlier for cubic [37][38][39][40] and quadratic [41] nonlinear optical media, but with the properties strongly affected by the presence of the surface in the form of the lattice truncation.…”