The bifurcation of K(3,2) equation u_{t}+(u^{3})_{x}+(u^{2})_{xxx}=0 with osmosis dispersion is discussed and investigated by means of the qualitative analysis methods of dynamical system. Illustrative phase portraits corresponding to traveling wave system, after numerical simulation by maple programs, are presented. Expressions of a periodic cusp wave and implicit expression of soliton are explicitly given. It is a supplement that enriches results of K(3,2).
