In this Letter, we study the bifurcation of the Kuramoto-Sivashinsky (K-S)
equation in one-spatial dimension with three kinds of boundary value condit
ions. Using the Liapunov-Schmidt reduction technique, the original equation
is first reduced to one or two bifurcation equations, so that bifurcation
analysis of the original equation can be transformed to that of the reduced
-order systems, and can therefore be carried out in detail.