Global well-posedness for the fractional Schrödinger–Boussinesq system

In this paper, we study the fractional Schrödinger–Boussinesq system raised in the laser and plasma physics, where the nonlinear term f ( n ) can be chosen as a large kind of functions. We obtain that it is global well-posed in H s ( R ) in one dimensional space, when s ⩾ 1 .