KdVKS方程的局部适定性
ON THE LOCAL WELL-POSEDNESS FOR THE KDVKS EQUATION

本文研究了KdVKS方程ut+δ？x3u+μ（？x4u+？x2u）+α（？xu）2=0的Cauchy问题.利用Tao的[k；Z]乘子范数估计的方法，在Sobolev空间Hs（R），s >-1中证明了初值问题的局部适定性，结论改进了现有的Biagioni等的结果.
In this paper, we consider the Cauchy problem for the KdVKS equation ut + δ？x3u + μ(？x4u +？x2u) + α(？xu)2=0. By means of the[k; Z] multiplier norm method of Tao, we prove the associated initial value problem is locally well-posed in Sobolev spaces Hs(R) for s > -1, which improves the conclusions drawn by Biagioni et al