Super Rogue Wave States In The Classical Massive Thirring Model System

We obtain the exact explicit super rogue wave solutions of the classical massive Thirring model system, using a nonrecursive Darboux transformation method along with some algebraic manipulations. We reveal that in such a vector system, both rogue wave components, whenever they take the fundamental Peregrine soliton structure or the super rogue wave ones, may possess the same maximum peak-amplitude factor, behaving like those occurring in scalar nonlinear systems. However, due to the coherent coupling, the two super rogue wave components may exhibit drastically different spatiotemporal distributions, despite that they evolve from almost the same background fields. The modulation instability responsible for the rogue wave excitation in such a coupled system is also discussed.