Periodic peakon and smooth periodic solutions for KP-MEW(3,2) equation (Q2247650)

Summary: In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line. The phase portrait for \(c<0\), \(0<c<1\), and \(c>1\) is drawn. Exact parametric representations of periodic peakon solutions and smooth periodic solution are presented.