Band-gap boundaries and fundamental solitons in complex two-dimensional nonlinear lattices

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

PHYSICAL REVIEW A, vol.81, no.3, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.1103/physreva.81.033834
  • Journal Name: PHYSICAL REVIEW A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul Technical University Affiliated: Yes

Abstract

Nonlinear Schrodinger (NLS) equation with external potentials (lattices) possessing crystal and quasicrystal structures are studied. The fundamental solitons and band gaps are computed using a spectral fixed-point numerical scheme. Nonlinear and linear stability properties of the fundamental solitons are investigated by direct simulations and the linear stability properties of the fundamental solitons are confirmed by analysis the linearized eigenvalue problem.