A theoretical and numerical study of two-dimensional nonlinear flexural-gravity waves
propagating at the surface of an ideal fluid of finite depth, covered by a thin ice sheet, is …

We present a method of detecting bifurcations by locating zeros of a signed version of the
smallest singular value of the Jacobian. This enables the use of quadratically convergent …

We formulate the two-dimensional gravity-capillary water wave equations in a spatially quasi-
periodic setting and present a numerical study of solutions of the initial value problem. We …

Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer
is under a flexible elastic sheet are considered as a model for internal waves under an ice …

Two-dimensional capillary–gravity waves travelling under the effect of a vertical electric field
are considered. The fluid is assumed to be a dielectric of infinite depth. It is bounded above …

We study hydroelastic waves in interfacial flow of two-dimensional irrotational fluids. Each of
the fluids is taken to be of infinite extent in one vertical direction, and bounded by a free …

A numerical study of fully nonlinear waves propagating through a two-dimensional deep
fluid covered by a floating flexible plate is presented. The nonlinear model proposed by …

The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating
at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special …

In this paper we focus our attention on physical parameters of so-called envelope solitary
waves beneath an ice cover. The form and propagation of waves in water basins under the …

Flexural-gravity waves beneath an ice sheet are investigated. Forced waves generated by a
moving load as well as freely propagating solitary waves are considered for the nonlinear …