Multigap Discrete Vector Solitons

2003/02/27 by Andrey A. Sukhorukov, Yuri S. Kivshar · 6 citations
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #cond-mat #nlin.PS #physics.optics

paper · pdf · doi:10.1103/physrevlett.91.113902

published as Phys. Rev. Lett. 91, 113902(1-4) (2003) · 4 pages, 4 figures

arxiv created 2003/02/27 · openalex publication_date 2003/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze nonlinear collective effects in periodic systems with multigap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We reveal that the interband interactions in nonlinear periodic structures can be efficiently managed by controlling their geometry. We predict novel types of discrete vector solitons supported by nonlinear coupling between different band gaps and study their stability.

Cited by

• Discrete interband mutual focusing in nonlinear photonic lattices
• Incoherent multi-gap optical solitons in nonlinear photonic lattices
• Discrete solitons in optics
• Gap and out-gap breathers in a binary modulated discrete nonlinear Schr�dinger model
• Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrödinger equation with alternating on-site potential
• Bifurcations and stability of gap solitons in periodic potentials

Related

• Controlled Generation and Steering of Spatial Gap Solitons
• Discrete solitons dynamics in \calPT-symmetric oligomers with complex-valued couplings
• Bifurcations and stability of gap solitons in periodic potentials
• Incoherent multi-gap optical solitons in nonlinear photonic lattices
• Optical Solitons in Periodic Media with Resonant and Off-Resonant Nonlinearities