On the periodic intermediate long wave equation

DOI10.1088/0305-4470/15/3/017zbMath0496.45013OpenAlexW2078313005MaRDI QIDQ3961305

Junkichi Satsuma, Harvey Segur, Mark J. Ablowitz, Athanassios S. Fokas

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/3/017

zbMATH Keywords

periodic solutionsnonlinearperiodic boundary conditionsBenjamin-Ono equationintermediate long wave equationBäcklund transformation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

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Periodic intermediate long wave equation: The undressing method ⋮ On the non-chiral intermediate long wave equation: II. Periodic case ⋮ On the non-chiral intermediate long wave equation ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian ⋮ On genus-two solutions for the ILW equation ⋮ Nonlocal models for nonlinear, dispersive waves ⋮ Large-amplitude steady downstream water waves ⋮ Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations ⋮ Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations ⋮ On periodic and solitary wavelike solutions of the intermediate long-wave equation

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