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

Brahim Alouini

doi:10.3934/eect.2021013

Article Contents

2022, Volume 11, Issue 2: 559-581. Doi: 10.3934/eect.2021013

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

Brahim Alouini

Research lab: Analysis, Probability and Fractals, University of Monastir, Faculty of Sciences, Monastir, Tunisia, I.P.E.I. Monastir, Ibn el Jazzar street, 5019 Monastir, Tunisia

Received: August 31, 2020

Revised: December 31, 2020

Early access: March 2021

Published: April 2022

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40, 35Q55; Secondary: 76B03, 37L30.

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