Adiabatic Interactions of Manakov Solitons -- Effects of Cross-modulation

TL;DR

This paper studies how cross-modulation affects the long-term behavior of Manakov soliton trains using a generalized Complex Toda chain model, with numerical validation showing good agreement for specific initial conditions.

Contribution

It introduces a novel approach to model the effects of cross-modulation on Manakov solitons via a generalized Complex Toda chain, including polarization vector evolution.

Findings

GCTC accurately predicts long-term soliton train evolution for certain parameters

Cross-modulation significantly influences polarization dynamics

Numerical simulations confirm the model's validity

Abstract

We investigate the asymptotic behavior of the Manakov soliton trains perturbed by cross-modulation in the adiabatic approximation. The multisoliton interactions in the adiabatic approximation are modeled by a generalized Complex Toda chain (GCTC). The cross-modulation requires special treating for the evolution of the polarization vectors of the solitons. The numerical predictions of the Manakov system are compared with the perturbed GCTC. For certain set of initial parameters GCTC describes very well the long-time evolution of the Manakov soliton trains.