The ``good Boussinesq equation on the half-line

DOI10.1016/j.jde.2015.01.005zbMath1320.35322OpenAlexW2089028757MaRDI QIDQ2350022

Dionyssios Mantzavinos, A. Alexandrou Himonas

Publication date: 18 June 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.01.005

zbMATH Keywords

solitonsinitial-boundary value problemsLaplacewell-posedness in Sobolev spacesunified transform methodintegrable Boussinesq equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Initial-boundary value problems for linear higher-order PDEs (35G16) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (19)

The "good" Boussinesq equation: a Riemann-Hilbert approach ⋮ The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces ⋮ A higher dispersion KdV equation on the half-line ⋮ Well-posedness and nonlinear smoothing for the ``good Boussinesq equation on the half-line ⋮ Boundary behavior for the heat equation on the half‐line ⋮ The Majda-Biello system on the half-line ⋮ Low regularity for the Kawahara equation on the half‐line ⋮ The ``good Boussinesq equation: long-time asymptotics ⋮ Exact boundary controllability for the Boussinesq equation with variable coefficients ⋮ The Korteweg-de Vries equation on an interval ⋮ Well-posedness of the nonlinear Schrödinger equation on the half-plane ⋮ Well-posedness of a higher dispersion KdV equation on the half-line ⋮ The nonlinear Schrödinger equation on the half-line with a Robin boundary condition ⋮ Fokas method for linear boundary value problems involving mixed spatial derivatives ⋮ The nonlinear Schrödinger equation on the half-line with Neumann boundary conditions ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ Initial-boundary value problems for a reaction-diffusion equation ⋮ The Neumann and Robin problems for the Korteweg–de Vries equation on the half-line ⋮ Extended water wave systems of Boussinesq equations on a finite interval: theory and numerical analysis

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