Vortex and dipole solitons in complex two-dimensional nonlinear lattices

Ablowitz M. J., ANTAR N., BAKIRTAS I., ILAN B.

PHYSICAL REVIEW A, vol.86, no.3, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1103/physreva.86.033804
  • Journal Name: PHYSICAL REVIEW A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul Technical University Affiliated: No

Abstract

Using computational methods, it is found that the two-dimensional nonlinear Schrodinger (NLS) equation with a quasicrystal lattice potential admits multiple dipole and vortex solitons. The linear and the nonlinear stability of these solitons is investigated using direct simulations of the NLS equation and its linearized equation. It is shown that certain multiple vortex structures on quasicrystal lattices can be linearly unstable but nonlinearly stable. These results have application to investigations of localized structures in nonlinear optics and Bose-Einstein condensates.