Mathematical analysis and physical interpretation on new multiple solitonic solutions of N-coupled modified kdV system

In this paper, the n-coupled modified KdV system (nc-mKdV) is considered. A combination of Backlund transformations and simplified Hirota?s method is used to construct new multiple-soliton and multiple-singularsoliton solutions of the proposed model. Dispersion relations on the effects of the inhomogeneities of the model ?due to the variable coefficients? are derived and interpreted for deterministic of the characteristic-line and velocity of each obtained soliton-waves.