New exact explicit peakon and smooth periodic wave solutions of the K(3,2)K(3,2) equation

Based on an independent variable transformation, the K(3,2)K(3,2) equation is investigated by the bifurcation method of planar systems and qualitative theory of polynomial differential system. In different regions of the parametric space, some new exact explicit peakon and smooth periodic wave solutions are obtained. The results presented in this paper improve the previous results.