The Cauchy problem for an integrable two-component model with peakon solutions

Abstract

In this paper, we are concerned with the Cauchy problem of the new integrable two-componnt system with cubic non-linearity, which was proposed by Xia, Qiao and Zhou. We establish the local well-posedness in a range of the Besov spaces. Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time.