The Perturbation Theory Of The Discrete MKdV Equation

The perturbation theory based on inverse scattering transform methord is used to study the discrete mKdV equation.At first,we discard the time-dependent adjoint linear spectral problem,which implies that the spectral is depend on the time.Then the basic equation is obtained by using the perturbation method based on the inverse scattering transform,and when the modified term tends to infinity,the equation is reduced to the ordinary discrete mKdV equation.Moreover,the time evolution of each parameter with modified terms have the same conclusion.In addition,the perturbation correction of conservation law is also given.