Characteristics of rogue waves on a soliton background of the vector Lakshmanan‐Porsezian‐Daniel equation

Abstract

In this paper, the semirational solutions that cause vector rogue waves and breathers can be obtained by using the Darboux dressing transformation. We studied vector rogue waves and the interaction between rogue waves and light‐dark solitons and observed that during the interaction, due to the interference between the light‐dark components of the solitons, a respiration‐like structures appear. Besides, it can be observed that the rogue waves and soliton merge together. Moreover, the main characteristics of the interactions between the breathers and bright‐dark solitons are displayed with some graphics.