A higher-order quadratic NLS equation on the half-line

DOI10.1007/s00028-024-01034-wMaRDI QIDQ6656728

Fangchi Yan, A. Alexandrou Himonas

Publication date: 3 January 2025

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

zbMATH Keywords

higher-order nonlinear Schrödinger equationwell-posedness in Sobolev spacesFokas unified transform methodquadratic nonlinearitiesinitial-boundary value problem on the half-linelinear and bilinear estimates in Bourgain spaces

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) Initial-boundary value problems for linear higher-order PDEs (35G16) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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