We study the dynamics of the equation obtained by Schryer and Walker for the motion of domain walls. The reduced equation is a reaction diffusion equation for the angle between the applied field and the magnetization vector. If the hard axis anisotropy K d is much larger than the easy axis anisotropy K u , there is a range of applied fields where the dynamics does not select the SchryerWalker solution. We give analytic expressions for the speed of the domain wall in this regime and the conditions for its existence.