On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates

TL;DR

This paper explores reductions of multicomponent nonlinear Schrödinger equations related to symmetric spaces, focusing on soliton solutions and their modifications via the Zakharov-Shabat dressing method, with applications to spinor Bose-Einstein condensates.

Contribution

It introduces new reductions of MNLS models and analyzes their impact on soliton solutions using an advanced dressing method.

Findings

New reductions of MNLS models identified

Effects on soliton solutions characterized

Application to spinor Bose-Einstein condensates

Abstract

We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyanin model. Some new reductions and their effects on the soliton solutions are obtained by proper modifying the Zakahrov-Shabat dressing method.