The D-bar method, inversion of certain integrals and integrability in 4 + 2 and 3 + 1 dimensions

DOI10.1088/1751-8113/41/34/344006zbMath1158.35094OpenAlexW2019459683MaRDI QIDQ3524277

Athanassios S. Fokas

Publication date: 9 September 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/34/344006

zbMATH Keywords

Fourier transformLaplace equationDirichlet-to-Neumann mapKadomtsev-Petviashvilli equation\(d\)-bar method

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (6)

Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions ⋮ Davey-Stewartson type equations in 4+2 and 3+1 possessing soliton solutions ⋮ Solving the initial value problem for the 3-wave interaction equations in multidimensions ⋮ Complexification and integrability in multidimensions ⋮ Kadomtsev-Petviashvili Equation Revisited and Integrability in 4 + 2 and 3 + 1 ⋮ Linearisable nonlinear partial differential equations in multidimensions

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