Department of Metallurgy, Guizhou University of Technology, Guiyang 550003, China;
Department of Metallurgy, Guizhou University of Technology, Guiyang 550003, China;
Department of Basic Science Guizhou University of Technology, Guiyang 550003, China;
Department of Metallurgy, Guizhou University of Technology, Guiyang 550003, China;
periodic potential; exact solution; Mathieu's equation; supersymmetric quantum mechanics;