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nlin.SI2004
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…
nlin.SI2004
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…