Optimal control problem for nonlinear optical communications systems

Constanza S. Fernández de la Vega; Richard Moore; Mariana Inés Prieto; Diego Rial

doi:10.1016/j.jde.2022.11.050

Optimal control problem for nonlinear optical communications systems

Constanza S. Fernández de la Vega, Richard Moore, Mariana Inés Prieto, Diego Rial

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider an optimal internal control problem for the cubic nonlinear Schrödinger (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.

Original language	English (US)
Pages (from-to)	347-375
Number of pages	29
Journal	Journal of Differential Equations
Volume	346
DOIs	https://doi.org/10.1016/j.jde.2022.11.050
State	Published - Feb 15 2023

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Noise immunity
Nonlinear Schrödinger equation
Optical fibers
Optimal control

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10.1016/j.jde.2022.11.050

Cite this

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title = "Optimal control problem for nonlinear optical communications systems",

abstract = "We consider an optimal internal control problem for the cubic nonlinear Schr{\"o}dinger (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.",

keywords = "Noise immunity, Nonlinear Schr{\"o}dinger equation, Optical fibers, Optimal control",

author = "{Fern{\'a}ndez de la Vega}, {Constanza S.} and Richard Moore and Prieto, {Mariana In{\'e}s} and Diego Rial",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

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doi = "10.1016/j.jde.2022.11.050",

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T1 - Optimal control problem for nonlinear optical communications systems

AU - Fernández de la Vega, Constanza S.

AU - Moore, Richard

AU - Prieto, Mariana Inés

AU - Rial, Diego

PY - 2023/2/15

Y1 - 2023/2/15

N2 - We consider an optimal internal control problem for the cubic nonlinear Schrödinger (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.

AB - We consider an optimal internal control problem for the cubic nonlinear Schrödinger (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.

KW - Noise immunity

KW - Nonlinear Schrödinger equation

KW - Optical fibers

KW - Optimal control

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M3 - Article

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SN - 0022-0396

VL - 346

SP - 347

EP - 375

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Optimal control problem for nonlinear optical communications systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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