Soliton-pair Propagation under Thermal Bath Eﬀect
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We consider two atomic transitions excited by two variable laser ﬁelds in a threelevel system. We study the soliton-pair propagation out of resonance and under thermal bath eﬀect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited .