Linear coupling effect induced beating non-degenerate vector solitons

TL;DR

This paper introduces a novel method to generate beating vector solitons using non-degenerate solutions of the Manakov system, revealing elastic collisions and controllable beating features relevant to optics and Bose-Einstein condensates.

Contribution

It presents a new approach to create beating vector solitons via linear superposition and intensity switching, differing from traditional dark-bright or bright-dark methods.

Findings

Beating solitons collide elastically, maintaining their features.

Beating nature can be controlled through collisions with degenerate solitons.

The method offers new insights into soliton dynamics in nonlinear systems.

Abstract

In this paper, we propose an alternative approach to generate a new class of beating vector solitons. Unlike earlier procedures that use dark-bright or bright-dark soliton solutions to generate beating solitons, the method described here utilizes non-degenerate vector soliton solutions of the Manakov system. It involves linear superposition of such soliton solutions along with an intensity switching mechanism facilitated by cross-coupling between the optical modes. We find that the obtained beating solitons collide elastically with themselves and keep their beating feature unchanged after the collision. We also find that their beating nature can be controlled by allowing them to collide with degenerate beating solitons exhibiting energy-sharing collisions. The results presented in this work will provide new insights into beating solitons in Bose-Einstein condensates, nonlinear optics, and related areas of research.