In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
The general time-dependent SchrOdinger equation with external perturbance needs to be resolved through Lie group decompositions.
而一般具有外加微扰作用力的含时薛定谔方程的求解需要通过李群分解。
3
It is shown that for some relatively simple conditions, exact analytical solutions of the non linear consolidation equation can be obtained by using the approach of the transformation of Lie group.