A coherently coupled nonlinear Schrödinger system with the positive coherent coupling is studied in this paper, and high-order semi-rational solutions are derived by the generalized Darboux transformation. Dynamic of the second-order semi-rational solutions is found to be of three types: collisions between the one-hump soliton and breather (double-hump rogue waves), collisions between the double-hump soliton and breather (double-hump rogue waves), and bound states of the one-hump solitons or double-hump solitons. Furthermore, for the third-order semi-rational solutions, three double-hump solitons and three one-hump solitons are found to be attracted and repulsed with each other periodically.

研究了具有正相干耦合的相干耦合非线性Schrödinger系统，并通过广义Darboux变换推导了高阶半有理解。二阶半理性解的动力学被发现为三种类型：单峰孤子与通气之间的碰撞（双峰无赖波），双峰孤子与通气之间的碰撞（双峰无赖波） ）以及单峰孤子或双峰孤子的束缚状态。此外，对于三阶半有理解，三个双峰孤子和三个单峰孤子被周期性地吸引和排斥。