190 citations · 563 across the 20 of their papers we have counts for
5 papers · 1 filter
The Unified Method: III Non-Linearizable Problems on the Interval
J. Lenells, A. S. Fokas
Boundary value problems for integrable nonlinear evolution PDEs formulated on the finite interval can be analyzed by the unified method introduced by one of the authors and used ex…
The Kadomtsev-Petviashvili II Equation on the Half-Plane
D. Mantzavinos, A. S. Fokas
The KPII equation is an integrable nonlinear PDE in 2+1 dimensions (two spatial and one temporal), which arises in several physical circumstances, including fluid mechanics where i…
A Novel Method of Solution for the Fluid Loaded Plate
Anthony C. L Ashton, A. S. Fokas
We study the Cauchy problem associated with the equations governing a fluid loaded plate formulated on either the line or the half-line. We show that in both cases the problem can…
The Focusing NLS Equation on the Half-Line with Periodic Boundary Conditions
S. Kamvissis, A. S. Fokas
We consider the Dirichlet problem for the focusing NLS equation on the half-line, with given Schwartz initial data and boundary data equal to an exponentially decaying per…
The Basic Elliptic Equations in an Equilateral Triangle
G. Dassios, A. S. Fokas
In his deep and prolific investigations of heat diffusion, Lamé was led to the investigation of the eigenvalues and eigenfunctions of the Laplace operator in an equilateral triangl…