The Lax pair structure for the spin Benjamin--Ono equation
Analysis of PDEs
2022-02-17 v1
Abstract
We prove that the recently introduced spin Benjamin--Ono equation admits a Lax pair, and we deduce a family of conservation laws which allow to prove global wellposedness in all Sobolev spaces for every integer . We also infer an additional family of matrix valued conservation laws, of which the previous family are just the traces.
Cite
@article{arxiv.2202.08219,
title = {The Lax pair structure for the spin Benjamin--Ono equation},
author = {Patrick Gérard},
journal= {arXiv preprint arXiv:2202.08219},
year = {2022}
}