title: Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures.
abstract: Localized nonlinear modes, or solitons, are obtained for the two-dimensional nonlinear Schrödinger equation with various external potentials that possess large variations from periodicity, i.e., vacancy defects, edge dislocations, and quasicrystal structure. The solitons are obtained by employing a spectral fixed-point computational scheme. Investigation of soliton evolution by direct numerical simulations shows that irregular-lattice solitons can be stable, unstable, or undergo collapse.
authors.affiliation: Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309-0526, USA.
authors.forename: Mark J
authors.initials: MJ
authors.lastname: Ablowitz
authors.forename: Boaz
authors.initials: B
authors.lastname: Ilan
authors.forename: Ethan
authors.initials: E
authors.lastname: Schonbrun
authors.forename: Rafael
authors.initials: R
authors.lastname: Piestun