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Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices
H. Susanto, P. G. Kevrekidis, F. Kh. Abdullaev +1
We introduce a system of two linearly coupled discrete nonlinear Schrödinger equations (DNLSEs), with the coupling constant subject to a rapid temporal modulation. The model can be…
Arrayed and checkerboard optical waveguides controlled by the electromagnetically-induced transparency
Yongyao Li, Boris A. Malomed, Mingneng Feng +1
We introduce two models of quasi-discrete optical systems: an array of waveguides doped by four-level N-type atoms, and a nonlinear checkerboard pattern, formed by doping with thre…
Solitons in nonlinear lattices
Yaroslav V. Kartashov, Boris A. Malomed, Lluis Torner
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spat…
Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical lattices
A. Muñoz Mateo, V. Delgado, Boris A. Malomed
We study fundamental and compound gap solitons (GSs) of matter waves in one-dimensional (1D) optical lattices (OLs) in a three-dimensional (3D) weak-radial-confinement regime, whic…
Splitting broad beams into arrays of dissipative spatial solitons by material and virtual gratings
Y. J. He, B. A. Malomed, F. Ye +4
We elaborate two generic methods for producing two-dimensional (2D) spatial soliton arrays (SSAs) in the framework of the cubic-quintic (CQ) complex Ginzburg-Landau (CGL) model. Th…
Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity
Nir Dror, Boris A. Malomed
It is well known that the two-dimensional (2D) nonlinear Schrödinger equation (NLSE) with the cubic-quintic (CQ) nonlinearity supports a family of stable fundamental solitons, as w…