Mkdv方程族的约束流与r-矩阵

The Constrained Flow and r-matrix for the Mkdv Hierarchy

利用矩阵特征值问题得到了 Mkdv方程族的 Lax表示 ,对于 Mkdv方程的约束流建立了 r-矩阵和经典的 Poisson结构 ,并由此得到了与 Mkdv方程相联系的完全可积系。

In this paper,the Lax representation for the Mkdv equation hierarchy is obtained by means of the eigenvalue problem.The Classical Poisson Structures and r matrix for the Constrained Flow of Mkdv Equation are est up.The finite dimensional intergrable Hamiltonian is given.