Exact soliton solutions of the discrete modified Korteweg—de Vries(mKdV) equation

摘要

By employing elliptic functions and hyperbolic functions, some exact periodic wavesolutions, kink-type soliton solutions, and other types of exact traveling-wave solutions to thediscrete modified Korteweg-de Vries equation are obtained by using homogenous balance principle.The way presented in the paper can be used to other differential-difference equations extensively.