The nonlinear superposition principle and the Wei-Norman method
数学物理
2008-11-26 v1 math.MP
摘要
Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei-Norman method is applied to obtain the associated differential equation in the group . The superposition principle for first order differential equation systems and Lie-Scheffers theorem are also analysed from this group theoretical perspective. Finally, the theory is applied in the solution of second order differential equations like time-independent Schroedinger equation
关键词
引用
@article{arxiv.physics/9802041,
title = {The nonlinear superposition principle and the Wei-Norman method},
author = {J. F. Carinena and G. Marmo and J. Nasarre},
journal= {arXiv preprint arXiv:physics/9802041},
year = {2008}
}