Gianluca Gorni, Stefania Residori, Gaetano Zampieri
The Maxwell–Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time-dependent first integrals, that allow a nonstandard separation of variables in the equations. That condition has a precise physical meaning. The separated differential equations lead naturally to simple conjectures on the asymptotic behavior of the physical variables.
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