Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations

Abstract

<p style='text-indent:20px;'>In the current issue, we consider a general class of two coupled weakly dissipative fractional Schrödinger-type equations. We will prove that the asymptotic dynamics of the solutions for such NLS system will be described by the existence of a regular compact global attractor in the phase space that has finite fractal dimension.</p>