Korteweg-de Vries (mKdV) equation modified by two-component five-order coupled extension is proposed. By means of generalized Darboux transformation and Taylor’s expansion, obtain the iterative expression of soliton solution of the order of the equation. Discussed the real and imaginary sectors of the spectrum parameters, the free parameters are given appropriate values. The interaction graphs between solitons are drawn by numerical simulation, and the effects of different parameters on the elastic and inelastic collisions between solitons are further analyzed. The obtained results have a certain theoretical significance for the study of higher-order solitons.