Vector rogue waves and their dynamics in the nonlocal three-component Manakov system

Abstract

In this work, by combining the Darboux transformation and variable separation technique, we generate and discuss a semirational vector solution to the nonlocal three-component Manakov system. The semirational solution is expressed in separation-of-variables form. The semirational vector solution exhibits breathers and rogue waves on a bright-dark soliton background. Moreover, the dynamic behaviors of the semirational vector solutions are discussed with some graphics. Our results may contribute to explaining and enriching the corresponding rogue wave phenomena emerging in nonlocal wave modes.