Lax Eigenvalues in the Zero-Dispersion Limit for the Benjamin–Ono Equation on the Torus

DOI10.1137/23m154635xzbMath1527.35352arXiv2301.03919OpenAlexW4387402501MaRDI QIDQ6083949

Louise Gassot

Publication date: 31 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.03919

zbMATH Keywords

integrable systemsBenjamin-Ono equationLax operatorzero-dispersion limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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