A higher dispersion KdV equation on the half-line

DOI10.1016/j.jde.2022.06.003zbMath1496.35345arXiv2204.01767OpenAlexW4224913922MaRDI QIDQ2152752

Fangchi Yan, A. Alexanddrou Himonas

Publication date: 11 July 2022

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

Full work available at URL: https://arxiv.org/abs/2204.01767

zbMATH Keywords

initial-boundary value problemintegrabilitywell-posedness in Sobolev spacesFokas unified transform methodestimates in Bourgain spaceshigher dispersion Korteweg-de Vries equation

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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

The Majda-Biello system on the half-line ⋮ Integral representations for the double-diffusivity system on the half-line

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