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Cover Image for A new approach to integrable evolution equations on the circle.

A new approach to integrable evolution equations on the circle.

AS Fokas, J Lenells

Dec 16, 2022

Fokas method Riemann–Hilbert problem Finite-gap solution Integrable evolution equation Inverse scattering Unified transform method

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Cover Image for A numerical technique for linear elliptic partial differential equations in polygonal domains.

A numerical technique for linear elliptic partial differential equations in polygonal domains.

P Hashemzadeh, AS Fokas, SA Smitheman

Mar 31, 2015

Fokas method Fokas transform Helmholtz equation Laplace elliptic partial differential equation modified Helmholtz equation

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Cover Image for The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions

The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions

B. Deconinck, A. S. Fokas, J. Lenells

Feb 10, 2021

Original Paper Integrable evolution equation Periodic solution Riemann–Hilbert problem Finite-gap solution Inverse scattering Unified transform method Fokas method Linearizable boundary condition 35Q55 37K15 35G30

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Cover Image for The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions

The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions

B Deconinck, AS Fokas, J Lenells

Mar 20, 2021

Original Paper Integrable evolution equation Periodic solution Riemann–Hilbert problem Finite-gap solution Inverse scattering Unified transform method Fokas method Linearizable boundary condition 35Q55 37K15 35G30

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