Soliton solution and interaction property for a coupled modified Korteweg–de Vries (mKdV) system

Hirota's bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg–de Vries (mKdV) system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this (1+1)-dimensional integrable coupled model. (general)