Localized modes in two-dimensional Schrodinger lattices with a pair of nonlinear sites

OPTICS COMMUNICATIONS

卷:324

Article

Brazhnyi, Valeriy A.¹  Malomed, Boris A.² 

[1] Univ Porto, Fac Ciencias, Ctr Fis Porto, P-4169907 Oporto, Portugal

[2] Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

关键词: 2D discrete solitons;    Localized nonlinearity;    Spontaneous symmetry breaking;   

DOI  :  10.1016/j.optcom.2014.03.073

来源: Elsevier

【 摘 要 】

We address the existence and stability of localized modes in the two dimensional (2D) linear Schrodinger lattice with two symmetric nonlinear sites embedded into it, and a generalization for moderately localized nonlinearity featuring two distinct symmetric maxima. The latter setting admits a much greater variety of localized modes. Symmetric, antisymmetric, and asymmetric discrete solitons are found, and a subcritical bifurcation, accounting for the spontaneous symmetry breaking (SSB) of the symmetric modes and transition to asymmetric ones, is identified. Existence and stability of more complex 2D solutions in the form of discrete symmetric and asymmetric vortices are also discussed. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free