Nth order Soliton Solutions of the Fifth-order Coupled Extended mKdV Equation
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,the iterative ex-pression of soliton solution of the order of the equation is obtained.After the real and imaginary sectors of the spectrum parameters are discussed,the free parameters are given to appropriate values.The inter-action graphs between solitons are drawn by numerical simulation,and the effects of different parame-ters 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.
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