Abstract: Roll wave often develops as the free surface loses its stability in an open-channel steady,uniform flow. They can bring about a series of unfavorable affects,such as the spilling,the mixing gas,the excessive pressure or the stress on hydraulic engineering projects,etc. Roll waves have the characteristics of shallow long waves. Considerable progresses are made in terms of theoretical,experimental and numerical studies by using the shallow-water equations. To build better mathematical model needs to takes into account viscosity,the vertical velocity acceleration,the shock profile,etc. and study the occurrence and evolution of the roll waves in sedimentladen flow over the movable bed(including bed deformation).It is of great importance in engineering practice and theoretical research.