94 citations · 182 across the 15 of their papers we have counts for
18 papers
The phenomenon of revivals on complex potential Schrödinger's equation
Lyonell Boulton, George Farmakis, Beatrice Pelloni
The mysterious phenomena of revivals in linear dispersive periodic equations was discovered first experimentally in optics in the 19th century, then rediscovered several times by t…
The role of periodicity in the solution of third order boundary value problems
B. Pelloni, D. A. Smith
In this short paper, we elucidate how the solution of certain illustrative boundary value problems for the Airy equation on can be expressed as a perturbati…
A new implementation of the geometric method for solving the Eady slice equations
Charlie P. Egan, David P. Bourne, Colin J. Cotter +4
We present a new implementation of the geometric method of Cullen & Purser (1984) for solving the semi-geostrophic Eady slice equations which model large scale atmospheric flows an…
Time-periodic linear boundary value problems on a finite interval
A. S. Fokas, B. Pelloni, D. A. Smith
We study the large time behaviour of the solution of a linear dispersive PDEs posed on a finite interval, when the prescribed boundary conditions are time periodic. We use the appr…
Beyond periodic revivals for linear dispersive PDEs
Lyonell Boulton, George Farmakis, Beatrice Pelloni
We study the phenomenon of revivals for the linear Schrödinger and Airy equations over a finite interval, by considering several types of non-periodic boundary conditions. In contr…
New Revival Phenomena for Linear Integro-Differential Equations
Lyonell Boulton, Peter J. Olver, Beatrice Pelloni +1
We present and analyse a novel manifestation of the revival phenomenon for linear spatially periodic evolution equations, in the concrete case of three nonlocal equations that aris…