Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions

TL;DR

This paper introduces a model using transparent boundary conditions to achieve reflectionless propagation of Manakov solitons on a line, effectively preventing backscattering in a one-dimensional domain.

Contribution

It develops artificial boundary conditions that ensure reflectionless transport of Manakov solitons, with demonstrated numerical implementation.

Findings

Artificial boundary conditions prevent backscattering.

Numerical simulations confirm reflectionless propagation.

Model applicable to one-dimensional soliton transport.

Abstract

We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and their numerical implementation is demonstrated.