Soliton Shedding from Airy Pulses in a Highly Dispersive and Nonlinear Medium

TL;DR

This paper numerically investigates how Airy pulses evolve in highly dispersive nonlinear media, revealing effects of higher-order dispersion and nonlinearities on soliton shedding, pulse acceleration, and temporal shifts.

Contribution

It introduces a detailed numerical analysis of Airy pulse propagation considering fourth order dispersion and complex nonlinearities, highlighting new effects on soliton shedding and pulse dynamics.

Findings

FOD cancels Airy pulse self-acceleration.

Soliton shedding occurs at low power with cubic-quintic nonlinearity and negative FOD.

Higher-order nonlinearities influence soliton temporal shifts.

Abstract

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 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 emergent soliton. Furthermore, we have explored the effects of septic nonlinearity on soliton shedding in different scenarios of nonlinearity and dispersion.