Grey solitons in doped nonlinear fibers

TL;DR

This paper presents exact solutions for grey solitons in doped nonlinear optical fibers, highlighting the role of phase and cross-phase modulation in controlling soliton properties and stability.

Contribution

It introduces a new coupled soliton solution that accounts for phase effects and demonstrates its stability over a wide parameter range.

Findings

Phase degree of freedom removes frequency restrictions.

Cross-phase modulation controls soliton speed.

Coupled soliton solution is stable across parameters.

Abstract

Grey solitons, with complex envelope, are obtained as exact solutions of the coupled system describing doped optical nonlinear fibers. The phase degree of freedom plays a crucial role in removing the restrictive equal frequency conditions on the tanh-sech paired pulses, identified earlier [1]. The cross-phase modulation is found to control the speed of the grey soliton, which has an upper bound. The coupled soliton solution obtained here was found to be stable in a wide parameter range.