In this paper, we investigate the beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system. Firstly, we construct a 4 × 4 Lax pair and the $N$th-order Darboux transformation. Secondly, with the non-zero seed solutions, we derive the $N$th-order beak-shaped rogue wave solutions and beak-shaped rogue wave pair solutions. Then, via such solutions, we graphically illustrate the nature of the beak-shaped rogue waves and beak-shaped rogue wave pairs. Moreover, we find that the width and angle of the beak-shaped rogue wave along the space axis enlarge with the increase of a real parameter in the higher-order coupled nonlinear Schrödinger system. We present two distinct types of the second-order vector beak-shaped rogue waves: one with the triangle pattern and the other one with the merged pattern. We show the first-order vector beak-shaped rogue wave pair and two distinct types of the second-order vector beak-shaped rogue wave pairs with the triangle pattern and merged pattern.

在本文中，我们研究了高阶耦合非线性Schrödinger系统的喙形流浪。首先，我们构造一个4×4 Lax对，然后$ñ$三次Darboux变换。其次，利用非零种子解，我们得出$ñ$th阶喙形流浪解和喙形流浪对解。然后，通过这样的解决方案，我们以图形方式说明了喙形流浪和喙形流浪对的性质。此外，我们发现在高阶耦合非线性Schrödinger系统中，喙形流浪沿空间轴的宽度和角度随着实际参数的增加而增大。我们提出了两种不同类型的二阶矢量喙形流氓波：一种具有三角形模式，另一种具有合并模式。我们用三角形模式和合并模式显示了第一阶矢量喙形流浪对和两种不同类型的第二阶矢量喙形流浪对。