广义c-KdV约束流的Lax对及其r矩阵

Lax Representations and r-matrices for the Restricted Flows of the Generalized c-KdV Soliton Hierarchy

给出了一类Neumann型及Bargmann型下广义c KdV约束流的Lax表示,进而给出了Neumann约束下的Lax矩阵在Dirac括号下的r矩阵及Bargmann约束下的Lax矩阵的r矩阵,由此利用r矩阵理论证明了它们在Liouville意义下的完全可积性.

The Lax representations of Neumann type and Bargmann type restricted flows of the generalized coupled KdV soliton hierarchy are presented. With the help of rmatrix theory, it is shown that both Lax matrices of the Neumann and Bargmann systems satisfy rmatrix relations. The complete integrabilities in the Liouville sense of these restricted flows thus are established in the framework of rmatrix.