Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates. (3rd January 2018)

• Record Type: Journal Article
• Authors: Sun, Wen-Rong; Wang, Lei
• Is Part Of: Proceedings. Volume 474:Number 2209(2018)
• Publication Date: 2018-01-03
• Subjects: matter rogue waves -- three-component Gross–Pitaevskii equations -- F=1 spinor Bose–Einstein condensate -- Darboux-dressing transformation; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2017.0276
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : To show the existence and properties of matter rogue waves in an F =1 spinor Bose–Einstein condensate (BEC), we work on the three-component Gross–Pitaevskii (GP) equations. Via the Darboux-dressing transformation, we obtain a family of rational solutions describing the extreme events, i.e. rogue waves. This family of solutions includes bright–dark–bright and bright–bright–bright rogue waves. The algebraic construction depends on Lax matrices and their Jordan form. The conditions for the existence of rogue wave solutions in an F =1 spinor BEC are discussed. For the three-component GP equations, if there is modulation instability, it is of baseband type only, confirming our analytic conditions. The energy transfers between the waves are discussed.