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.
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页数：6
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