Vector Nonlinear Waves in a Two-Component Bose–Einstein Condensate System
Xiu‐Bin Wang, Bo Han
Abstract
To show the properties and existence of vector nonlinear waves in a one-dimensional two-component Bose–Einstein condensate system, we investigate the pair-transition-coupled nonlinear Schrödinger equation. Through the two forms for Darboux transformations, we obtain a family of nonlinear wave solutions describing the extreme events. This family of solutions contains Akhmediev breather, Kuznetsov–Ma breather, famous vector rogue waves, bright-dark-rogue waves, beak-shaped rogue waves, and novel freak waves. Moreover, we successfully reveal different types of the distributions for the second-order vector rogue waves. Our results show that more abundant and novel localized waves may exist in the Bose–Einstein condensate system than in the Manakov system.