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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Noise immunity
- Nonlinear Schrödinger equation
- Optical fibers
- Optimal control