On the global well-posedness for the nonlocal Fokas-Lenells equation with the weighted Sobolev initial data on the line

Zhenya Yan, Guoqiang Zhang, Guancheng Zhu

We establish the global well-posedness of the Cauchy problem for the reverse space-time nonlocal Fokas-Lenells equation with the weighted Sobolev initial data $q_0(x)\in H^{3}(\mat…