Formation of Rogue Waves and Modulational Instability with Zero-Wavenumber Gain in Multicomponent Systems with Coherent Coupling
Lei Liu, Wen‐Rong Sun, Boris A. Malomed
Abstract
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 interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. The same mechanism leads to the creation of RWs by MI in other multicomponent systems-in particular, in the massive Thirring model.
Topics & Concepts
Modulational instabilityWavenumberPhysicsRogue wavePerturbation (astronomy)BasebandQuantum electrodynamicsPerturbation theory (quantum mechanics)InstabilityQuantum mechanicsNonlinear systemOptoelectronicsCMOSNonlinear Photonic SystemsNonlinear Waves and SolitonsAdvanced Fiber Laser Technologies