4.7 Article

Optimal control problem for nonlinear optical communications systems

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 346, Issue -, Pages 347-375

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2022.11.050

Keywords

Nonlinear Schr?dinger equation; Optimal control; Optical fibers; Noise immunity

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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.
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.

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