A Riemann–Hilbert approach to the modified Camassa–Holm equation with nonzero boundary conditions

DOI10.1063/1.5139519zbMath1434.35149arXiv1911.07263OpenAlexW2988760039MaRDI QIDQ5110758

I. Karpenko, Dimitry Shepelsky, Anne Boutet de Monvel-Berthier

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1911.07263

zbMATH Keywords

integral equationsnonlinear equationsKorteweg-de Vries equationsoliton solutionsJost solutionscomplex analysisinverse scatteringequations of fluid dynamics

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (9)

On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions ⋮ Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation ⋮ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system ⋮ The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions ⋮ Solving the modified Camassa-Holm equation via the inverse scattering transform ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ Long-Time Asymptotics for the Modified Camassa–Holm Equation with Nonzero Boundary Conditions ⋮ A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions ⋮ A view of the peakon world through the lens of approximation theory

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