The presence of electric fields in immiscible multifluid flows induces Maxwell stresses at
sharp interfaces that can produce electrohydrodynamic phenomena of practical importance …

Publisher Summary This chapter examines the nonlinearly resonant surface waves and
homoclinic bifurcation. The behavior of steady nonlinear water waves on the surface of an …

We prove the existence of travelling wave solutions to a fifth order partial differential
equation, which is a formal asymptotic approximation for water waves with surface tension …

This article concerns the pairwise nonlinear interaction of solitary waves in the free surface
of a body of water lying over a horizontal bottom. Unlike solitary waves in many completely …

Hunter and Scheurle have shown that capillary-gravity water waves in the vicinity of Bond
number (Bo)≈ 1 3 are consistently modelled by the Korteweg-de Vries equation with the …

The direct algebraic method for constructing travelling wave solutions on nonlinear evolution
and wave equations has been generalized and systematized. The class of solitary wave …

Free surface problems occur in many aspects of science and of everyday life such as the
waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a …

Shoreward propagating, mode 2 nonlinear waves appear sporadically in mooring records
obtained off the coast of New Jersey in the summer of 2006. Individual mode 2 packets were …

In this paper, we introduce a general approach for proving optimal L^2 error estimates for
the semidiscrete local discontinuous Galerkin (LDG) methods solving linear high order wave …

We prove the existence of solitary water waves of elevation, as exact solutions of the
equations of steady inviscid flow, taking into account the effect of surface tension on the free …