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

• Published in: Results in physics Vol. 30; p. 104860
• Main Authors: Yang, Jing, Zhu, Yu, Qin, Wei, Wang, Shaohui, Li, Jitao
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2021; Elsevier
• Subjects: Coupled Gross–Pitaevskii equation; Diploe soliton; Linear potential; Nonautonomous partially nonlocal case; Vortex soliton; Linear potential; Coupled Gross–Pitaevskii equation; Vortex soliton; Diploe soliton; Nonautonomous partially nonlocal case
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104860

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. •Analytical 3D vector solitons under a linear potential are firstly derived.Analytical 3D vector solitons under a linear potential are firstly derived.•The dynamics of 3D vector vortex and diploe solitons are investigated.•The number of the column of solitons along the z-axis is related to the Hermite parameter.