非稳定非线性薛定谔方程的马尔钦科方程

Machenko Equation of the Unstable Nonlinear Schrodinger(NLS) Equation

该文基于对非稳定非线性薛定愕方程作反散射变换得到的Ｚａｋｈａｒｏｖ－Ｓｈａｂａｔ方程，直接对积分核作变换，导出马尔钦科方程．得到的马尔钦科方程在形式上与一般非线性薛定谔方程得到的一样简单明了，且不存在逆变换的自洽困难．

The unstable nonlinear Schrodinger (NLS) equation is solved by the inversescattering transform. A transformation is made directly to the intergral nuclei of the Zakharov-Shabat equation, and the Marchenko equation is thus derived. It is found that theMarchenko equation is as simple as that of a usual NLS equation, and the Zakharov-Shabat equation can be found from the Machenko equation by the inverse transformation.