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 …

The Hamiltonian formulation of the water wave problem due to Zakharov and the reduced
Zakharov equation derived therefrom have great utility in understanding and modelling …

We address the fully nonlinear stage of seeded modulational instability in the Fermi-Pasta–
Ulam-Tsingou chain with quartic interaction potential (β-FPUT) subject to periodic boundary …

This paper sets out to explore the modulational (or Benjamin-Feir) instability of a
monochromatic wave propagating in the presence of damping such as that induced by sea …

The cubic interactions in a discrete system of four weakly nonlinear waves propagating in a
conservative dispersive medium are studied. By reducing the problem to a single ordinary …

In this study, the propagation of a fundamental plane mode in a bifurcated waveguide
structure with soft–hard boundaries is analyzed by using the Helmholtz equation. The …

The modulation instability (MI) is responsible for the disintegration of a regular nonlinear
wave train and can lead to strong localizations in a from of rogue waves. This mechanism …

In this manuscript we investigate the Benjamin–Feir (or modulation) instability for the spatial
evolution of water waves from the perspective of the discrete, spatial Zakharov equation …

In this manuscript we investigate the Benjamin-Feir (or modulation) instability for the spatial
evolution of water waves from the perspective of the discrete, spatial Zakharov equation …

We study the nonlinear stage of modulation instability (MI) in the non-intergrable pure-
quartic nonlinear Schrödinger equation where the fourth-order dispersion is modulated …