1 citations · 1 across the 4 of their papers we have counts for
4 papers
Linearizable Initial-Boundary Value Problems for the sine-Gordon Equation on the Half-Line
A. S. Fokas
A rigorous methodology for the analysis of initial boundary value problems on the half-line, , , for integrable nonlinear evolution PDEs has recently appeared in t…
The Davey-Stewartson I Equation on the Quarter Plane with Homogeneous Dirichlet Boundary Conditions
A. S. Fokas
Dromions are exponentially localised coherent structures supported by nonlinear integrable evolution equations in two spatial dimensions.In the study of initial-value problems on t…
Boundary Value Problems for Linear PDEs with Variable Coefficients
A. S. Fokas
A new method is introduced for studying boundary value problems for a class of linear PDEs with {\it variable} coefficients. This method is based on ideas recently introduced by th…
A Generalization of both the Method of Images and of the Classical Integral Transforms
Athanassios S. Fokas, Daniel ben-Avraham
A new method for the solution of initial-boundary value problems for evolution PDEs recently introduced by Fokas is generalised to multidimensions. Also the relation of this method…