Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling

Lei Liu, Wen-Rong Sun, Boris A. Malomed

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant intera…