Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2006.2856.2865TangShengqiang Wentao Huang 122006614In this study, the generalized special Dodd-Bullough-Mikhailov Equations utt-uxx = αemu + βe-nu is studied. The existence of periodic wave and unbounded wave solutions of this equation is proved by using the method of bifurcation theory of dynamical systems. Some exact explicit parametric representations of the above traveling solutions are also obtained.]]>Chow, S.N. and J.K. Hale,1981Li, J. and L. Zhenrong,2000254156Li, J. and L. Zhenrong,200223B397418Li, J. and G. Chen,20051539733998Wazwaz, A.M.,2005255556