Asymptotic dynamics of the solutions for a system of N-coupled fractional nonlinear Schrödinger equations

Article type: Research Article

Authors: Alouini, Brahim^{a; b; *}

Affiliations: [a] Research lab: Analysis, Probability and Fractals, Faculty of Sciences, Monastir, Tunisia. E-mail: [email protected] | [b] Department of mathematics, IPEI Monastir, Ibn el Jazzar street, 5019 Monastir, Tunisia

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: In the current issue, we consider a system of N-coupled weakly dissipative fractional Schrödinger equations with cubic nonlinearities. We will prove that the asymptotic dynamics of the solutions will be described by the existence of a regular compact global attractor with finite fractal dimension.

Keywords: Schrödinger equation, asymptotic behavior, global attractor, fractal dimension

DOI: 10.3233/ASY-201643

Journal: Asymptotic Analysis, vol. 124, no. 3-4, pp. 235-258, 2021