Breather-to-soliton conversions and nonlinear wave interactions in a coupled Hirota system

In this paper, a coupled Hirota system with higher-order effects is analytically investigated. The results show that the breather solutions can be converted into some types of nonlinear localized and periodic solutions on the plane-wave background. The exact relations for the conversions are presented, which depend on the higher-order effects, the background frequency and the eigenvalue. Via some graphic illustrations, the collisions between these nonlinear waves in the second-order conversions are displayed.