4 papers
Homoclinic-shedding in the steady forced water-wave problem
Jack Keeler, Mark Blyth
Recently, an infinite set of steady solitary-wave solution branches was discovered for inviscid and irrotational flow over a localised topographic depression. These solutions were…
Towards eliminating the nonlinear Kelvin wake
Jack Keeler, Benjamin Binder, Mark Blyth
The nonlinear disturbance caused by a localised forcing moving at constant speed on the free surface of a liquid of finite depth is investigated using the forced Kadometsev-Petvias…
On the stability of fully nonlinear hydraulic-fall solutions to the forced water-wave problem
Jack S. Keeler, Mark G. Blyth
Two-dimensional free-surface flow over localised topography is examined with the emphasis on the stability of hydraulic-fall solutions. A Gaussian topography profile is assumed wit…
Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations
Jack S. Keeler, Mark G. Blyth, John R. King
Solutions to the class of inhomogeneous nonlinear ordinary differential equations taking the form \[u'' + u^2 = αf(x) \] for parameter are studied. The problem is define…