The Fokas Method: The Dirichlet to Neumann Map for the Sine‐Gordon Equation

DOI10.1111/sapm.12035zbMath1301.35133OpenAlexW1604376273MaRDI QIDQ5166485

Guenbo Hwang

Publication date: 27 June 2014

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12035

zbMATH Keywords

sine-Gordon equationLax pairFokas method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

The elliptic sinh-Gordon equation in a semi-strip ⋮ The Fokas method for the Broer-Kaup system on the half-line ⋮ A Perturbative Approach for the Asymptotic Evaluation of the Neumann Value Corresponding to the Dirichlet Datum of a Single Periodic Exponential for the NLS ⋮ The Elliptic Sinh-Gordon Equation in the Quarter Plane ⋮ The modified Korteweg-de Vries equation on the quarter plane with t-periodic data ⋮ The mixed nonlinear Schrödinger equation on the half-line

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