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

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

PHYSICAL REVIEW A, cilt.81, sa.3, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 81 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1103/physreva.81.033834
  • Dergi Adı: PHYSICAL REVIEW A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.