Solitons of two-component Bose-Einstein condensates modulated in space and time

TL;DR

This paper derives diverse soliton solutions for two-component Bose-Einstein condensates governed by coupled nonlinear Schrödinger equations with spatial and temporal modulation, revealing complex behaviors influenced by potential and nonlinearity profiles.

Contribution

It introduces a method to obtain a wide variety of soliton solutions in modulated two-component BEC systems, including cases with varying potentials and localized or delocalized nonlinearities.

Findings

Soliton solutions with different potential profiles

Examples with both attractive and repulsive potentials

Solutions with localized and delocalized nonlinearities

Abstract

In this paper we present soliton solutions of two coupled nonlinear Schodinger equations modulated in the bspace and time. The approach allows us to obatin solitons with large variety of solutions depending on the nonlinearity and the potential profiles. As examples we show three cases with soliton solution in such system, one of them with potential varying between repulsive and attractive behavior and the others with nonlinearity localized and delocalized, respectively.