Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures.
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.
Ablowitz
Mark J
MJ
Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309-0526, USA.
Ilan
Boaz
B
Schonbrun
Ethan
E
Piestun
Rafael
R