论文标题
旋转本杰明的松弛对结构 - 方程
The Lax pair structure for the spin Benjamin--Ono equation
论文作者
论文摘要
我们证明，最近引入的旋转本杰明 - 方程式承认了一对宽松，我们推断出一系列保护法，可以证明所有sobolev spaces $ h^k $的全球良好，每一个整数$ k \ geq 2 $。我们还推断出一个额外的矩阵有价值的保护法，其中以前的家族只是痕迹。
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 $H^k$ for every integer $k\geq 2$. We also infer an additional family of matrix valued conservation laws, of which the previous family are just the traces.
