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 …

Evolution of resonant three-wave interaction is governed by quadratic nonlinearities. While
propagating localized modes and inverse scattering mechanisms have been studied …

Nonlinear wave focusing originating from the universal modulation instability (MI) is
responsible for the formation of strong wave localizations on the water surface and in …

Modulational instability of a uniform two-dimensional binary Bose-Einstein condensate
(BEC) in the presence of quantum fluctuations is studied. The analysis is based on the …

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 …

Physics of nonlinear waves on variable backgrounds and the relevant mathematical
analysis continues to be the challenging aspect of the study. In this work, we consider a (3+ …

We show that the nonlinear stage of the universal phenomenon of modulational instability,
and in particular its recurrent behavior, is deeply affected by arbitrarily weak losses. Indeed …

We reveal a special subset of non-degenerate Akhmediev breather (AB) solutions of
Manakov equations that only exist in the focusing case. Based on exact solutions, we …

The stability of waves in deep water has classically been approached via linear stability
analysis, with various model equations, such as the nonlinear Schrödinger equation, serving …

In this Research Letter, using experimental data, we analyze the computational complexity
of modulation instability of a light wave propagating in a single-mode optical fiber. We show …