Generalized Darboux transformation and nonlinear analysis of higher-order localized wave solutions

In this paper, higher-order localized waves of three-component coupled nonlinear Schrodinger equation are investigated using generalized Darboux transformation. By constructing a novel seed solution as the function of evolution time and normalized distance, a series of new phenomena for higher-order localized waves are displayed with numerical simulations. Specially, the angles between propagation directions of dark-bright solitons(breathers) and the positive direction of x-axis are analysed on the basis of free parameters. The results obtained will contribute to reveal dynamic features of localized waves for the coupled system.