Discrete embedded modes in the continuum in 2D lattices 

Seltrapping in flat band lattices with nonlinear disorder 

The two-dimensional fractional discrete nonlinear Schrödinger equation 

Localized vortex beams in anisotropic Lieb lattices 

Nonlinear surface impurity in a semi-infinite two-dimensional square lattice: Green function approach 

The fractional nonlinear PT dimer 

Surface solitons in chirped photonic lattices 

Polarization instability, steering, and switching of discrete vector solitons 

Controlled switching of discrete solitons in waveguide arrays 

Fano resonances in magnetic metamaterials