The ideal three-mode nondegenerate parametric oscillator, unitary operators, nonlinear differential equations and Painlevé property
Willi-Hans Steeb · Physica Scripta · 2008
For the unitary evolution of the ideal three-mode parametric oscillator, we derive an autonomous system of first order nonlinear differential equations. We show that this autonomous system passes the Painleve test. Then we show that the system is integrable in the sense of Liouville.