Colorful excitations of 3D dark-bright vector ring-like Peregrine structures in partially nonlocal nonlinear context under a harmonic potential

Abstract

Based on a one-to-one mapping and Darboux method, 3D partially nonlocal dark-bright vector ring-like Peregrine structure solutions are derived. From these solutions, colorful excitations of dark-bright vector ring-like Peregrine structures in two kinds of diffraction control systems are studied. In the periodical system, periodically recurred fully excitations and inhibited excitations of ring-like dark-bright Peregrine structures are discussed. In the exponential system, inhibited excitations, peak-maintenance excitations and full excitations of ring-like dark-bright Peregrine structures are analyzed. The influence of diffraction parameter, radius parameter and thickness parameter of ring, and Hermite parameter on the formation of these excitations for dark-bright Peregrine structures are investigated. These results will deepen the comprehension of the partially nonlocal nonlinear wave in the fields of optical communication, cold atom and other domains.