In order to solve the edge wave problem during medium plate rolling,this paper describes the wave func-tion by using a high-order trigonometric function,which better reflects the actual situation,in which the plate edgewave does not cover the whole plate width.On this basis,the critical buckling condition of the plate edge wave isobtained by utilizing an energy method to perform the analytical calculation.Meanwhile,the calculation results ofan actual edge wave plate are compared with the measured data.It is found that the measured crown is greater thanthe critical crown of the edge wave buckling occurrence,which indicates that the analytical calculation for the edgewave is correct.In order to solve the high-order edge wave problem,a roller shape curve with six items is designedbased on the analytical calculation results,finding that the ability of the proposed method to control the edge waveis obviously improved.In addition,a new input system is designed for the roll bending force.The above improve-ment measures have been adopted in practical application with a significant effect,which demonstrates the correct-ness of the edge wave generation mechanism presented in this paper.