Optimal control problem for nonlinear optical communications systems

DOI10.1016/j.jde.2022.11.050zbMath1504.35476OpenAlexW4312156967MaRDI QIDQ2111240

Yanyan Li

Publication date: 28 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.050

zbMATH Keywords

optimal controlnonlinear Schrödinger equationoptical fibersnoise immunity

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Lasers, masers, optical bistability, nonlinear optics (78A60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Existence theories for optimal control problems involving partial differential equations (49J20) Optimization problems in optics and electromagnetic theory (78M50) Soliton solutions (35C08)

Cites Work

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• Optimal distributed control problem for cubic nonlinear Schrödinger equation
• A Path‐Based Method for Simulating Large Deviations and Rare Events in Nonlinear Lightwave Systems
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• Unique continuation properties of the nonlinear Schrödinger equation
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• The geometric minimum action method: A least action principle on the space of curves
• Numerical computation of rare events via large deviation theory

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