Fluid mechanics is concerned with the behavior of liquids and gases at rest or in motion,
where the nonlinear waves and their interactions are important. Hereby, we study a (3+ 1) …

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 …

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 …

Benjamin–Feir instability, which is originally discovered in hydrodynamics and plasma
physics, has become a central process of nonlinear physics over the past decades. On‐chip …

Modulation instability, breather formation, and the Fermi–Pasta–Ulam–Tsingou recurrence
(FPUT) phenomena are studied in this article. Physically, such nonlinear systems arise …

Wave breaking is the main mechanism that dissipates energy input into ocean waves by
wind and transferred across the spectrum by nonlinearity. It determines the properties of a …

Dissipation of standing gravity waves of frequencies within 1–2 Hz is investigated
experimentally. The waves are generated in a rectangular tank filled with water, the surface …

Surface gravity waves in coastal waters are broadband and multi-directional, whose
quadratic properties are of considerable engineering and scientific interest. Based on a …

We show how the recurrence phenomenon characteristic of the nonlinear stage of induced
modulational instability in a passive fiber is affected by forcing. An additional linear …

The nonlinear Schrödinger equation possesses doubly periodic solutions expressible in
terms of the Jacobi elliptic functions. Such solutions can be realized through doubly periodic …