title: Matter rogue waves in an F=1 spinor Bose-Einstein condensate.
abstract: We report new types of matter rogue waves of a spinor (three-component) model of the Bose-Einstein condensate governed by a system of three nonlinearly coupled Gross-Pitaevskii equations. The exact first-order rational solutions containing one free parameter are obtained by means of a Darboux transformation for the integrable system where the mean-field interaction is attractive and the spin-exchange interaction is ferromagnetic. For different choices of the parameter, there exists a variety of different shaped solutions including two peaks in bright rogue waves and four dips in dark rogue waves. Furthermore, by utilizing the relation between the three-component and the one-component versions of the nonlinear Schrödinger equation, we can devise higher-order rational solutions, in which three components have different shapes. In addition, it is noteworthy that dark rogue wave features disappear in the third-order rational solution.
authors.affiliation: School of Mathematical Sciences, Institute of Mathematics and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, People's Republic of China. zyqin@fudan.edu.cn
authors.forename: Zhenyun
authors.initials: Z
authors.lastname: Qin
authors.forename: Gui
authors.initials: G
authors.lastname: Mu
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D011789:Quantum Theory