The instability of Stokes waves, steady propagating waves on the surface of an ideal fluid of
infinite depth, is a fundamental problem in the field of nonlinear science. The dominant …

We develop a numerical method to study eigenvalue problems for operators fundamental to
Stokes wave and its stability in a 2D ideal fluid with a free surface and infinite depth. The …

We consider steady surface waves in an infinitely deep two-dimensional ideal fluid with
potential flow, focusing on high-amplitude waves near the steepest wave with a 120 corner …

This work numerically investigates the fully nonlinear evolution of the free surface of a deep
non-conducting liquid in a strong tangential electric field based on the method of dynamic …

The Whitham equation is a model for the evolution of surface waves on shallow water that
combines the unidirectional linear dispersion relation of the Euler equations with a weakly …

We introduce a new model equation for Stokes gravity waves based on conformal
transformations of Euler's equations. The local version of the model equation is relevant for …

We study the stability of Stokes waves in an ideal fluid of infinite depth. The perturbations
that are either coperiodic with a Stokes wave (superharmonics) or integer multiples of its …

The Whitham equation is a model for the evolution of small‐amplitude, unidirectional waves
of all wavelengths in shallow water. It has been shown to accurately model the evolution of …

Babenko's equation describes traveling water waves in holomorphic coordinates. It has
been used in the past to obtain properties of Stokes waves with smooth profiles analytically …

Signal analysis is a fundamental field in engineering and data science, focused on the study
of signal representation, transformation, and manipulation. The accurate estimation of …