Spatiotemporal vector vortex and diploe solitons of a nonautonomous partially nonlocal coupled Gross–Pitaevskii equation with a linear potential

Abstract

A 3D nonautonomous partially nonlocal coupled Gross–Pitaevskii equation is paid attention under a linear potential. The similarity reduction from a 3D nonautonomous coupled equation into an autonomous one is implemented. In virtue of solutions of the 2D autonomous nonlinear Schrödinger model from the bilinear method, spatiotemporal vector vortex and diploe soliton solutions of the 3D nonautonomous coupled equation are found. In the x–z plane, with the increase of value for the Hermite parameter υ, the column of vortex and diploe solitons adds along the z-axis and the number of the column is υ+1.