Further Results on the Traveling Wave Solutions for an Integrable Equation

The objective of this paper is to extend some results of pioneers for the nonlinear equation m t = (1 / 2) (1 / m k) x x x - (1 / 2) (1 / m k) x introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when k = - (p / q) (p ≠ q and p, q), we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems. © 2013 Chaohong Pan and Zhengrong Liu.