190 citations · 240 across the 3 of their papers we have counts for
4 papers
On a novel integrable generalization of the nonlinear Schrödinger equation
J. Lenells, A. S. Fokas
We consider an integrable generalization of the nonlinear Schrödinger (NLS) equation that was recently derived by one of the authors using bi-Hamiltonian methods. This equation is…
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
J. Lenells, A. S. Fokas
We analyze initial-boundary value problems for an integrable generalization of the nonlinear Schrödinger equation formulated on the half-line. In particular, we investigate the so-…
The Generalized Dirichlet to Neumann map for the KdV equation on the half-line
P. A. Treharne, A. S. Fokas
For the two versions of the KdV equation on the positive half-line an initial-boundary value problem is well posed if one prescribes an initial condition plus either one boundary c…
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…