Boussinesq Equations Of The Traveling Wave Solutions Of The Branch

This paper includes four parts.In the first part,We change variant Boussi-nesq equations into a planar Hamiltonian system;In the second part,we present the bifurcation set,bifurcation curves and,phase portraits of (1.9);In the third part,nine types explicit formulas of solitary wave solutions and kink wave solutions of nine parametric conditions are given;at the last part, periodic solutions of (1.9) are given.