Oscillating solitons in a three component BEC

TL;DR

This paper studies oscillating solitons in three-component Bose-Einstein condensates with spin exchange interactions, revealing a generic oscillatory behavior during soliton collisions and deriving an exact mathematical model for this phenomenon.

Contribution

It introduces a new exact mathematical model for oscillating solitons in multi-component BECs, extending understanding beyond previously known solutions.

Findings

Oscillations occur during soliton collisions in three-component BECs.

The derived model accurately describes the oscillatory behavior.

The model is an exact solution to the initial equations.

Abstract

We investigate the properties of three component BEC systems with spin exchange interactions. We consider different coupling constants from those leading to exact solutions known in the literature. When two solitons collide, an oscillation of the emerging entities is observed. This behavior seems to be generic. A mathematical model is derived for the emerging solitons. It describes the new oscillatory phenomenon extremely well. Surprisingly, the model is exact as a solution to the initial equations. This comes as a bonus.