# Anti-Chaos Control via Nonlinear Schr\"odinger Equations for the secured optical communication

## TL;DR

This paper explores the use of coupled nonlinear Schrödinger equations to enhance secure optical communication by inducing and analyzing chaos in the system, combining analytical and numerical methods.

## Contribution

It introduces a method to chaotify coupled nonlinear Schrödinger equations with time-delay and perturbations for secure optical communication.

## Key findings

- Chaotic states are observed through phase projections.
- Power spectra confirm chaos via positive Lyapunov exponents.
- System exhibits periodicity and integrability under certain conditions.

## Abstract

Coupled nonlinear Schr\"odinger equations, governing the propagation of envelopes of electromagnetic waves in birefringent optical fibers, are studied in this paper for their potential applications in the secured optical communication. Periodicity and integrability of the CNLS equations are obtained via the phase-plane analysis. With the time-delay and perturbations introduced, CNLS equations are chaotified and a chaotic system is proposed. Numerical and analytical methods are conducted on such system: (I) Phase projections are given and the final chaotic states can be observed. (II) Power spectra and the largest Lyapunov exponents are calculated to corroborate that those motions are indeed chaotic.