Abstract
This paper examines the three-component coupled nonlinear Schrodinger equation, which has various applications in deep ocean, nonlinear optics, Bose-Einstein (BE) condensates, and more. On the basis of seed solutions and a Lax pair, the Nth-order iterative expressions for the solutions are derived by using the generalized Darboux transformation. The evolution plots of dark-bright-rogue wave or breather-rogue wave are then obtained via numerical simulation. Particularly, a novel rogue wave propagation trajectory is found in the second and third order localized wave solutions. Moreover, by increasing the value of the free parameter alpha and beta, the nonlinear waves merge with each other distinctly. The results further reveal the abundant dynamical patterns of localized waves in the three-component coupled system.