Difference Discrete Theory Of Manifolds And Integrable Systems Of The Micro-molecular

It is known that the 1-form condition of integrability is the zero curvatiure condition of connection of fiber bundle. Based on the zero curvatiure condition in differential geometry, we get some solition equations and their Lax pairs when a and b are the fixed non-zero diagonal matrices. By using discrete difference method and introducing the discrete 1-form, we get the corresponding discrete solition equations and their Lax pairs, such as discrete Schrodinger equation, discrete MKdV and KdV equation.