We present a numerical investigation of the propagation dynamics of a truncated Airy pulse in a highly dispersive and nonlinear medium by employing the split-step Fourier transform method and look, in particular, into the effects of fourth-order dispersion (FOD) and cubic-quintic-septic nonlinearity on pulse evolution. Presence of FOD cancels the Airy pulse’s self-acceleration along with eclipsing the oscillatory tail during propagation in the linear regime. Further, we observe soliton shedding at low input pulse power in the presence of cubic and quintic nonlinearity and negative FOD. The emergent soliton exhibits temporal shift, and the direction and the extent of the shift depend upon the strengths of cubic and quintic nonlinearities. In the presence of anomalous group-velocity dispersion (GVD) with negative FOD, soliton shedding is observed at relatively high input pulse power. The strengths of GVD and nonlinearity play a vital role in the temporal shifting of the emergent soliton. Furthermore, we have explored the effects of septic nonlinearity on soliton shedding in different scenarios of nonlinearity and dispersion.

中文翻译：

---

在高度色散和非线性介质中从艾里脉冲中脱落的孤子

我们通过采用分步傅立叶变换方法对截断的艾里脉冲在高度色散和非线性介质中的传播动力学进行了数值研究，并特别研究了四阶色散 (FOD) 和三次色散的影响。脉冲演化的五次脓毒症非线性。FOD 的存在消除了艾里脉冲的自加速，并在线性区域传播期间遮住了振荡尾部。此外，我们观察到在存在三次和五次非线性以及负 FOD 的情况下，低输入脉冲功率下的孤子脱落。出现的孤子表现出时间偏移，偏移的方向和程度取决于三次和五次非线性的强度。在存在负 FOD 的异常群速度色散 (GVD) 的情况下，在相对较高的输入脉冲功率下观察到孤子脱落。GVD 和非线性的优势在突现孤子的时间转移中起着至关重要的作用。此外，我们还探讨了在非线性和色散的不同情况下脓毒症非线性对孤子脱落的影响。