Boundary value problems for the elliptic sine-Gordon equation in a semi-strip

DOI10.1007/s00332-012-9150-5zbMath1267.35094arXiv0912.1758OpenAlexW2042274845MaRDI QIDQ1956208

Jonatan Lenells, Beatrice Pelloni, Athanassios S. Fokas

Publication date: 13 June 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1758

zbMATH Keywords

boundary value problemsintegrable PDEselliptic sine-Gordon

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Scattering theory for PDEs (35P25) Nonlinear elliptic equations (35J60)

Related Items (12)

Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane ⋮ Skyrmion states in chiral liquid crystals ⋮ Linear evolution equations on the half-line with dynamic boundary conditions ⋮ The elliptic sinh-Gordon equation in a semi-strip ⋮ The p-widths of a surface ⋮ Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations ⋮ The Kadomtsev-Petviashvili II equation on the half-plane ⋮ A Riemann–Hilbert Approach to Complex Sharma–Tasso–Olver Equation on Half Line ^* ⋮ The Unified Transform and the Water Wave Problem ⋮ Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions ⋮ Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations ⋮ The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach

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