Stabilization of solutions to higher-order nonlinear Schrodinger equation with localized damping

Abstract

We study the stabilization of solutions to higher-order nonlinear Schrodinger equations in a bounded interval under the effect of a localized damping mechanism. We use multiplier techniques to obtain exponential decay in time of the solutions of the linear and nonlinear equations.

Keywords

• Higher order nonlinear Schrodinger equation
• stabilization
• localized damping.