The Lax pair structure for the spin Benjamin-Ono equation

被引：2

作者：

Gerard, Patrick ^{[1
]}

机构：

[1] Univ Paris Saclay, Lab Math Orsay, CNRS, F-91405 Orsay, France

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期

关键词：

Lax pair; Benjamin-Ono; Spin systems;

D O I：

10.1186/s13662-023-03768-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the recently introduced spin Benjamin-Ono equation admits a Lax pair and deduce a family of conservation laws that allow proving global wellposedness in all Sobolev spaces H-k for every integer k >= 2. We also infer an additional family of matrix-valued conservation laws of which the previous family is just the traces.

引用

页数：6

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