Optimal control problem for nonlinear optical communications systems

We consider an optimal internal control problem for the cubic nonlinear Schrodinger (NLS) equation on the line. We prove well-posedness of the problem and existence of an optimal control. In addition, we show first order optimality conditions and numerical simulations.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

In this study, we investigate an optimal internal control problem for the cubic nonlinear Schrodinger equation on the line. We establish the well-posedness of the problem and prove the existence of an optimal control. Additionally, we present first order optimality conditions and numerical simulations.