In this paper, some novel analytical approximations to a completely non-integrable
nonplanar (cylindrical and spherical) Kawahara equation (nKE) are derived. Using the …

The response of a floating elastic plate to the motion of a moving load is studied using a fully
dispersive weakly nonlinear system of equations. The system allows for an accurate …

We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which
contains, besides the traditional quadratic nonlinearity and third-order dispersion, additional …

Direct phase-resolved simulations are performed to investigate the propagation and
scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the …

A two-dimensional continuum model is proposed for linear gravity waves propagating
across ice-covered seas. It is based on a two-layer formulation where the floating sea ice is …

A new class of resonant dispersive shock waves was recently identified as solutions of the
Kawahara equation—a Korteweg–de Vries (KdV) type nonlinear wave equation with third …

A comprehensive theoretical study on the head-on collision between two solitary waves in a
thin elastic plate floating on an inviscid fluid of finite depth is investigated analytically by …

We study the nonlinear modulation property of flexural-gravity waves on a water surface
covered by a compressed ice sheet of given thickness and density in a basin of a constant …

A numerical model for direct phase-resolved simulation of nonlinear ocean waves
propagating through fragmented sea ice is proposed. In view are applications to wave …

This paper is concerned with the interaction of vertically sheared currents with two-
dimensional flexural–gravity waves in finite depth. A third-order Stokes expansion is carried …