Under investigation in this manuscript is the coupled Hirota equations, which describe the propagation of ultrashort optical pulses in a birefringent fiber or collision of the two waves arisen by severe weather in deep ocean. Based on the generalized Darboux transformation derived before, we obtain the semirational solutions, and properties of the solitons are discussed in detail: Elastic collisions between/among the two/three solitons on the zero-intensity background are shown in figures, which means that the solitons propagate with the stable amplitudes and velocities during the collisions. Also, inelastic collisions between/among the two/three solitons are illustrated, and some of the solitons travel with amplitudes changed. Furthermore, the bound states among the three solitons are observed.

该手稿中正在研究的是耦合的Hirota方程，该方程描述了双折射光纤中超短光脉冲的传播或深海恶劣天气引起的两波碰撞。基于之前导出的广义Darboux变换，我们获得了半理性解，并详细讨论了孤子的性质：零强度背景上的两个/三个孤子之间/之中的弹性碰撞如图所示，这意味着孤子在碰撞过程中以稳定的幅度和速度传播。此外，还显示了两个/三个孤子之间的非弹性碰撞，并且某些孤子的振幅发生了变化。此外，观察到三个孤子之间的束缚态。