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The nonlinear superposition principle and the Wei-Norman method

J. F. Carinena·G. Marmo·J. Nasarre
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Abstract

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 $SL(2,R)$. 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

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J. F. Carinena, G. Marmo, J. Nasarre. 1998-02-21. The nonlinear superposition principle and the Wei-Norman method. https://doi.org/10.1142/s0217751x98001694

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