8 citations · 20 across the 5 of their papers we have counts for
5 papers
Jumps and cusps: a new revival effect in local dispersive PDEs
Lyonell Boulton, George Farmakis, Beatrice Pelloni +1
We study the presence of a non-trivial revival effect in the solution of linear dispersive boundary value problems for two benchmark models which arise in applications: the Airy eq…
Revivals in time-evolution quasi-periodic problems
George Farmakis
We examine the influence of quasi-periodic boundary conditions on the phenomenon of revivals in linear dispersive PDEs. We show that, in general, quasi-periodic problems do not sup…
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations
George Farmakis, Jing Kang, Peter J. Olver +2
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and disconti…
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…
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…