Dynamics of rogue waves on a multi-soliton background for the three-component coupled Hirota equation

Localized waves are studied for the three-component coupled Hirota equation, which is often used to describe optical pulse propagation in long-distance communication models and ultra-fast signal routing systems. On the basis of seed solutions and a Lax pair, the breather wave and soliton solutions are derived according to the Darboux transformation. By using asymptotic expansion and Darboux-dressing transformation, a novel vector rogue wave solution is constructed. Then, the interaction diagram of rogue waves and dark-bright solitons or breathers is obtained via numerical simulation. Furthermore, the dynamics of localized waves are analyzed with different free parameters. The results can be of much importance in enriching and predicting rouge wave phenomena arising in nonlinear wave fields.