We construct matter rogue wave (RW) solutions for both attractive-attractive and repulsive-repulsive two-component Bose–Einstein condensates (BECs). With the help of similarity transformation, we transform the two coupled Gross–Pitaevskii (GP) equations into Manakov equation with an integrability condition. For attractive-attractive two-component BECs, we obtain various localized patterns, namely first-order dark-bright RW, doublets, triplets, quartets and sextet RWs. We explore the dynamical properties of the obtained RW solutions by considering three distinct forms of trap potentials, namely the time-independent trap, time-dependent monotonic trap and time-dependent periodic trap. Further, we derive first-order dark-bright, dark-dark doublet, dark-bright triplet and dark-dark triplet RW solutions for two-component BECs with repulsive interactions. We then analyze the deformation of these solutions for the same three kinds of trap potentials. Our results show that the robustness of the matter RWs can be manipulated with the help of the trap parameter.

我们针对吸引-吸引力和排斥-排斥两组分玻色-爱因斯坦凝聚物（BEC）构造物质无赖波（RW）解决方案。借助相似度转换，我们将两个耦合的Gross-Pitaevskii（GP）方程转换为具有可积条件的Manakov方程。对于具有吸引力的两成分BEC，我们获得了各种局部模式，即一阶暗光RW，双峰，三重奏，四重奏和六重奏RW。我们通过考虑陷阱势的三种不同形式来探索获得的RW解的动力学性质，即时间无关陷阱，时间相关单调陷阱和时间相关周期性陷阱。此外，我们推导了一阶暗-亮，暗-暗双峰，适用于具有排斥性相互作用的两组分BEC的深色-深色三重态和深色-深色三重态RW解决方案。然后，对于相同的三种陷阱势，我们将分析这些解的变形。我们的结果表明，可以使用trap参数来控制RW物质的鲁棒性。