科研之友
微信
新浪微博
Facebook
分享链接
摘要
A five-dimensional symmetry algebra consisting of Lie point symmetries is firstly computed for the nonlinear Schrodinger equation, which, together with a reflection invariance, generates two five-parameter solution groups. Three ansatze of transformations are secondly analyzed and used to construct exact solutions to the nonlinear Schrodinger equation. Various examples of exact solutions with constant, trigonometric function type, exponential function type and rational function amplitude are given upon careful analysis. A bifurcation phenomenon in the nonlinear Schrodinger equation is clearly exhibited during the solution process.
