We study peakon, cuspon, and pseudo-peakon solutions fortwo generalized Camassa-Holm equations. Based on the method ofdynamical systems, the two generalized Camassa-Holm equations areshown to have the parametric representations of the solitary wavesolutions such as peakon, cuspon, pseudo-peakons, and periodiccusp solutions. In particular, the pseudo-peakon solution is forthe first time proposed in our paper. Moreover, when a travelingsystem has a singular straight line and a heteroclinic loop,under some parameter conditions, there must be peaked solitarywave solutions appearing.