Persistent bright solitons in sign-indefinite coupled nonlinear Schrodinger equations with a time-dependent harmonic trap

TL;DR

This paper introduces a coupled nonlinear Schrödinger model with sign-indefinite terms and a time-dependent trap, demonstrating the existence of persistent bright solitons through analytical solutions and numerical validation.

Contribution

It presents a novel coupled NLS system with sign-indefinite kinetic terms and time-dependent potential, providing exact soliton solutions and analyzing their stability and interactions.

Findings

Exact single and two-soliton solutions derived.

Persistent solitons demonstrated with specific time-dependent traps.

Inelastic collisions between solitons observed and analyzed.

Abstract

We introduce a model based on a system of coupled nonlinear Schrodinger (NLS) equations with opposite signs infront of the kinetic and gradient terms in the two equations. It also includes time-dependent nonlinearity coefficients and a parabolic expulsive potential. By means of a gauge transformation, we demonstrate that, with a special choice of the time dependence of the trap, the system gives rise to persistent solitons. Exact single and two-soliton analytical solutions and their stability are corroborated by numerical simulations. In particular, the exact solutions exhibit inelastic collisions between solitons.