非线性Schrdinger方程的N-波达布变换与精确解

N-fold Darboux Transformation and Exact Solutions for the Nonlinear Schrdinger Equation

利用等谱问题的规范变换,为一对耦合的非线性Schrdinger方程建立了一个具有多个参数的N-波达布变换,求出了该方程的精确解.

A N-fold Darboux transformation with multi-parameters for a kind of coupled nonlinear evolution is set up with the help of a gauge transformation of a spectral problem. As a reduction, a Darboux transformation of the nonlinear Schrotinger equation is obtained, furthermore, the exact solutions of the nonlinear Schrodinger equation are given by applying its Darboux transformation.