论文标题
在分数本尼类型系统上
On Fractional Benney Type Systems
论文作者
论文摘要
本文引入了分数类型的进化方程，以建模短波和长波之间的相互作用。我们考虑了一个分数本尼类型系统，该系统由分数schrödinger方程以及分数多孔培养基方程式给出。在与分数schrödinger方程相关的弱耦合或较小的初始数据的假设下，证明存在Cauchy问题的弱解决方案。
This paper introduces fractional type evolutionary equations modeling the interaction between short waves and long waves. We consider a fractional Benney type system, which is given by a fractional Schrödinger equation coupled with a fractional porous medium equation. Under the assumption of weak coupling or small initial data related to the fractional Schrödinger equation, it is proved the existence of weak solutions to the Cauchy problem.
