117 citations · 236 across the 9 of their papers we have counts for
9 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…
The nonlinear Schrödinger equation with -periodic data: II. Perturbative results
J. Lenells, A. S. Fokas
We consider the nonlinear Schrödinger equation on the half-line with a given Dirichlet boundary datum which for large tends to a periodic function. We assume that this function…
The nonlinear Schrödinger equation with -periodic data: I. Exact results
J. Lenells, A. S. Fokas
We consider the nonlinear Schrödinger equation on the half-line with a given Dirichlet (Neumann) boundary datum which for large tends to the periodic function ($g_1^…
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…
The Laplace equation for the exterior of the Hankel contour and novel identities for hypergeometric functions
A. S. Fokas, M. L. Glasser
By employing conformal mappings, it is possible to express the solution of certain boundary value problems for the Laplace equation in terms of a single integral involving the give…
The Unified Method: II NLS on the Half-Line with -Periodic Boundary Conditions
J. Lenells, A. S. Fokas
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensiv…
The Unified Method: I Non-Linearizable Problems on the Half-Line
A. S. Fokas, J. Lenells
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensiv…