Solitons supported by complex PT symmetric Gaussian potentials

TL;DR

This paper investigates the existence and stability of various solitons in Kerr nonlinear media with complex PT symmetric Gaussian potentials, revealing stability conditions related to potential depth and soliton type.

Contribution

It reports the stability conditions of fundamental, dipole, and tripole solitons in PT symmetric Gaussian potentials, highlighting how potential depth influences soliton stability.

Findings

Fundamental solitons are stable in both deep and shallow potentials.

Dipole and tripole solitons are stable only in deep potentials.

Stable regions expand with increasing potential depth.

Abstract

The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are reported. Fundamental solitons are stable not only in deep potentials but also in shallow potentials. Dipole and tripole solitons are stable only in deep potentials, and tripole solitons are stable in deeper potentials than for dipole solitons. The stable regions of solitons increase with increasing potential depth. The power of solitons increases with increasing propagation constant or decreasing modulation depth of the potentials.