Open AccessAnomalous interaction of Airy beams in the fractional nonlinear Schrödinger equation
Author(s) -
Lifu Zhang,
Xiang Zhang,
Haozhe Wu,
Chuxin Li,
Davide Pierangeli,
Yanxia Gao,
Dianyuan Fan
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.027936
Subject(s) - breather , physics , nonlinear schrödinger equation , soliton , nonlinear system , laplace operator , airy function , quantum mechanics , schrödinger equation , quantum electrodynamics , classical mechanics
We investigate the mutual interaction of two spatially-separated Airy beams in the nonlinear Schrödinger equation with the fractional Laplacian. Depending on the beam separation ( d ), relative phase and Lévy index ( α ), we observed an anomalous attraction or repulsion between the Airy beams. Anomalous attraction leads to a single breather soliton with a period that grows exponentially as α increases. In this region of the parameter space, we identify a crossover between two asymmetric regimes: as the Lévy index exceeds a critical value α c , the period of breather soliton for d >0 is orders of magnitude larger than for d <0, while the opposite occurs as α < α c . Our results reveal a novel scenario for Airy beams interaction in the framework of fractional nonlinear Schrödinger equation and provide an alternative mechanism to control breather soliton generation.