The Modified Korteweg-de Vries Equation on the Half-Line with a Sine-Wave as Dirichlet Datum

DOI10.1080/14029251.2013.792492zbMath1420.37067OpenAlexW1991541630MaRDI QIDQ5230886

Guenbo Hwang, Athanassios S. Fokas

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.792492

zbMATH Keywords

initial-boundary value problemmodified Korteweg-de Vries equationgeneralized Dirichlet to Neumann map

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

The Fokas method for the Broer-Kaup system on the half-line ⋮ Discrete linear evolution equations in a finite lattice ⋮ 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 d-bar formalism for the modified Veselov-Novikov equation on the half-plane

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