Neumann约束下Kdv族的对合解

The Involutive Solution of the Kdv VarietiesAssociated with the Neumann System

通过一个特征值问题的非线性化得到一个Neumann系统,证明了它是Liouville意义下的完全可积系统,并给出了与它相联系的演化方程的对合解.

Under the Neumann constraint, the eigenvalue problem associated with the kdv varieties is nonlinearised to be a completely integrable Neumann system in Liouville sense. The involutive solutions of the kdv with the Neumann system is given.