title: Nonautonomous matter waves in a spin-1 Bose-Einstein condensate.
abstract: To investigate nonautonomous matter waves with time-dependent modulation in a one-dimensional trapped spin-1 Bose-Einstein condensate, we hereby work on the generalized three-coupled Gross-Pitaevskii equations by means of the Hirota bilinear method. By modulating the external trap potential, atom gain or loss, and coupling coefficients, we can obtain several nonautonomous matter-wave solitons and rogue waves including "bright" and "dark" shapes and arrive at the following conclusions: (i) the external trap potential and atom gain or loss can influence the propagation of matter-wave solitons and the duration and frequency of bound solitonic interaction, but they have little effect on the head-on solitonic interaction; (ii) through numerical simulation, stable evolution of the matter-wave solitons is realized with a perturbation of 5% initial random noise, and the spin-exchange interaction of atoms can be affected by the time-dependent modulation; (iii) under the influence of a periodically modulated trap potential and periodic atom gain or loss, rogue waves can emerge in the superposition of localized character and periodic oscillating properties.
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.
authors.forename: Yu-Jia
authors.initials: YJ
authors.lastname: Shen
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.
authors.forename: Yi-Tian
authors.initials: YT
authors.lastname: Gao
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China and Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China.
authors.forename: Da-Wei
authors.initials: DW
authors.lastname: Zuo
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.
authors.forename: Yu-Hao
authors.initials: YH
authors.lastname: Sun
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.
authors.forename: Yu-Jie
authors.initials: YJ
authors.lastname: Feng
authors.affiliation: Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.
authors.forename: Long
authors.initials: L
authors.lastname: Xue
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D010507:Periodicity; D013995:Time