5 citations · 7 across the 3 of their papers we have counts for
4 papers
A semi-periodic initial-value problem for the Kadomtsev-Petviashvili II equation
P. Kalamvokas, V. G. Papageorgiou, A. S. Fokas +1
We investigate the Cauchy problem on the cylinder, namely the semi-periodic problem where there is periodicity in the -direction and decay in the -direction, for the Kadomtse…
The nonlinear Schrödinger equation with forcing involving products of eigenfunctions
A. S. Fokas, A. Latifi
We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation. The forc…
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…
Elliptic boundary value problems in convex polygons with low regularity boundary data via the unified method
A. C. L. Ashton, A. S. Fokas
We use novel integral representations developed by the second author to prove certain rigorous results concerning elliptic boundary value problems in convex polygons. Central to th…