Multi-peak solitons in PT-symmetric Bessel optical lattices with defects

Abstract

This paper presents a theoretical analysis of the existence and stability of multi-peak solitons in parity–time-symmetric Bessel optical lattices with defects in nonlinear media. The results demonstrate that there always exists a critical propagation constant μ_c for the existence of multi-peak solitons regardless of whether the nonlinearity is self-focusing or self-defocusing. In self-focusing media, multi-peak solitons exist when the propagation constant μ>μ_c. In the self-defocusing case, solitons exist only when μ<μ_c. Only low-power solitons can propagate stably when random noise perturbations are present. Positive defects help stabilize the propagation of multi-peak solitons when the nonlinearity is self-focusing. When the nonlinearity is self-defocusing, however, multi-peak solitons in negative defects have wider stable regions than those in positive defects.

Keywords

lattice solitons / multi-peak solitons / PT-symmetry / defect solitons

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2016 Higher Education Press and Springer-Verlag Berlin Heidelberg