Long-Lived Rogue Waves and Inelastic Interaction in Binary Mixtures of Bose–Einstein Condensates

We investigate bright, dark and two rogue waves in two-component Bose–Einstein condensates. It is found that one rogue wave of a new structure that contains two humps and two valleys around one center in the temporal-spatial distribution interacts with the conventional rogue wave. We present an effective way to obtain long-lived rogue waves through managing the nonlinear interaction with modulating trapping frequency and interchange atoms between thermal clouds and condensates. The results provide many possibilities to manipulate rogue waves experimentally in the condensate system.