# Optical solitons in near $\mathcal{PT}-$symmetric Rosen-Morse potential

## TL;DR

This paper explores stable optical solitons in a complex Ginzburg-Landau system with a near $ ext{PT}$-symmetric Rosen-Morse potential, analyzing their stability, dynamics, and energy flow for potential experimental applications.

## Contribution

It demonstrates the existence and stability of solitons in a near $ ext{PT}$-symmetric Rosen-Morse potential, providing insights into their dynamical behavior and energy flow.

## Key findings

- Stable solitons exist within specific parameter ranges.
- Dynamical analysis reveals evolution and energy flow characteristics.
- Results are relevant for experimental optical system designs.

## Abstract

We investigate the existence of stable soliton solution in a system described by complex Ginzburg-Landau (CGL) equation with near parity reflection - time reversal ($\mathcal{PT}$) symmetric Rosen-Morse potential. In this study, the stability of solution is examined by numerical analysis to show that solitons are stable for some parameter ranges. The dynamical properties such as evolution and transverse energy flow for both self-focusing and self-defocusing nonlinear mode are also analyzed. The obtained results are useful for experimental designs and applications in related fields.