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.

中文翻译：

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N耦合分数阶非线性Schrödinger方程组解的渐近动力学

在当前问题中，我们考虑具有立方非线性的N耦合弱耗散分数Schrödinger方程组。我们将证明解的渐近动力学将通过存在具有有限分形维数的规则紧致整体吸引子来描述。