Optimal control problem for nonlinear optical communications systems

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)347-375
Number of pages29
JournalJournal of Differential Equations
StatePublished - Feb 15 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


  • Noise immunity
  • Nonlinear Schrödinger equation
  • Optical fibers
  • Optimal control


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