Open AccessLight bullets in coupled nonlinear Schrödinger equations with variable coefficients and a trapping potential
Author(s) -
Si-Liu Xu,
G. P. Zhao,
Milivoj R. Belić,
Jun-Rong He,
L. Xue
Publication year - 2017
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.25.009094
Subject(s) - physics , trapping , soliton , nonlinear system , rogue wave , vortex , nonlinear schrödinger equation , diffraction , optics , stability (learning theory) , classical mechanics , quantum mechanics , mechanics , ecology , machine learning , computer science , biology
We analyze three-dimensional (3D) vector solitary waves in a system of coupled nonlinear Schrödinger equations with spatially modulated diffraction and nonlinearity, under action of a composite self-consistent trapping potential. Exact vector solitary waves, or light bullets (LBs), are found using the self-similarity method. The stability of vortex 3D LB pairs is examined by direct numerical simulations; the results show that only low-order vortex soliton pairs with the mode parameter values n ≤ 1, l ≤ 1 and m = 0 can be supported by the spatially modulated interaction in the composite trap. Higher-order LBs are found unstable over prolonged distances.