First integrals of the Maxwell–Bloch system
Copyright policy )First integrals of the Maxwell–Bloch system
We investigate the analytic, rational and C 1 first integrals of the Maxwell–Bloch system E ˙ = - κ E + g P , P ˙ = - γ ⊥ P + g E ▵ , ▵ ˙ = - γ ∥ ( ▵ - ▵ 0 ) - 4 g P E , where κ , γ ⊥ , g , γ ∥ , ▵ 0 are real parameters. In addition, we prove this system is rationally non-integrable in the sense of Bogoyavlenskij for almost all parameter values.
- Jilin University China (People's Republic of)
- State Key Laboratory of Automotive Simulation and Control China (People's Republic of)
- Sichuan University China (People's Republic of)
Maxwell-Bloch system, Explicit solutions, first integrals of ordinary differential equations, QA1-939, first integrals, Lasers, masers, optical bistability, nonlinear optics, Nonlinear ordinary differential equations and systems, laser dynamics, Mathematics
Maxwell-Bloch system, Explicit solutions, first integrals of ordinary differential equations, QA1-939, first integrals, Lasers, masers, optical bistability, nonlinear optics, Nonlinear ordinary differential equations and systems, laser dynamics, Mathematics
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