描述正群速色散效应的非线性薛定谔方程的精确解

EXACT SOLUTIONS OF NONLINEAR SCHR ODINGER EQUATION FOR POSITIVE GROUP VELOCITY DISPERSION

通过构造一个完全可积的有限维动力系统及其求解，我们获得了描述光学纤维中正群速色散脉冲传播的非线性薛定谔方程的精确解。

A method is given for obtaining new exact solutions of nonlinear schrodinger equation describing the propagation of pulses in optical fibers for positive group-velcity dispersion. The method is based on the construction of a certain complete integrable finite-dimensional dynamical system, Whose solutions determine the exact solutions of nonlinear Schrodinger equation.