分数阶长短波方程的整体光滑解

Global Smooth Solution for the Fractional Long-short Wave Equations

本文研究了分数阶长短波方程组的周期初边值问题,运用一致先验估计和Galerkin方法证明了分数阶长短波方程整体光滑解的存在性和唯一性.

The initial and periodic boundary conditions of the fractional long-short wave equations were studied. The existence and uniqueness of the global smooth solution for the fractional long-short wave equations were proved by using uniform priori estimates and Galerkin method.