耦合的MkdV方程与特征值问题的对称约束

The Symmetry Constraint about the Coupled MkdV Equation Hiearchy

利用对称约束，得到了一个与特征值问题ｙ１ｙ２ｘ＝１２ｑ１２λ１２λ＋ｒ－１２ｑｙ１ｙ２及其伴随特征值问题相联系的新的完全可积Ｈａｍｉｌｔｏｎ系统。

By means of symmetric constraint,new completely integrable Hamiltonian system is obtained, which is associated with the eigenvalue problem y 1 y 2 x=12q 12λ 12λ+r -12q y 1 y 2 and its adjoint eigenvalue problem.Furthermore,we discuss relevant involutive solution of the evolution equations.