OPTICS COMMUNICATIONS, vol.331, pp.204-218, 2014 (SCI-Expanded)
We report the numerical existence of dipole and vortex solitons for the two-dimensional nonlinear Schrodinger (NLS) equation with external potentials that possess strong irregularities, i.e., edge dislocations and a vacancy defects. Multi-humped solitons are computed by employing a spectral fixed-point computational scheme. The nonlinear stability of these solitons is investigated using direct simulations of the NLS equation and it is observed that these multi-humped modes in the defect lattices can be stable or unstable. (C) 2014 Elsevier B.V. All rights reserved.