Exact boundary controllability for higher order nonlinear Schrodinger equations with constant coefficients

Abstract

The exact boundary controllability of the higher order nonlinear Schrodinger equation with constant coefficients on a bounded domain with various boundary conditions is studied. We derive the exact boundary controllability for this equation for sufficiently small initial and final states.

Keywords

• KdVK equation
• boundary control
• Hilbert uniqueness method
• Ingham's inequality
• smoothing properties.