混合的非线性Schrdinger方程和一个复形式的完全可积的系统

The Mixed Nonlinear Schr■dinger Equation and a Completely Integrable System of Complex Form

探讨了混合的非线性Schrdinger方程新的Lax对，并给出相应的复形式的Liouville完全可积系统。进一步将混合的非线性Schrdinger方程的解化为Hamiltonian方程的解。

In this paper,a new Lax pair of the mixed nonlinear Schrodinger equation is dis cussed. And a corresponding complex Liouville completely integrable ststem is given. Further more, the solutions of the mixed nonlinear Schredinger equation are transfornled into the solutions of Hamiltonian equations.