Darboux Transformation And Explicit Solutions Of Four-component Nonlinear Schr?dinger-Type Equation

In this paper,we mainly study a Darboux transformation of the four-component nonlinear Schr?dinger-type equation,which is associated with a 3×3 matrix spectral problem.and construct exact solution.Firstly,based on the presentation of the Lax pairs,the fourcomponent nonlinear Schr?dinger-type equation is introduced.Then the corresponding gauge transformation and Darboux transformation of the soliton equation are deduced.Finally,depending on the derived Darboux transformation,explicit solutions for the fourcomponent nonlinear Schr?dinger-type equation are given and some figures are plotted by the proper choice of parameters.