We mainly study N-soliton solutions for the Maxwell–Bloch equations via the Riemann–Hilbert (RH) approach in this paper. The relevant RH problem has been constructed by performing spectral analysis of Lax pair. Then the jump matrix of the Maxwell–Bloch equations has been obtained. Finally, we gain the exact solutions of the Maxwell–Bloch equations by solving the special RH problem with reflectionless case.

中文翻译：

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通过 Riemann-Hilbert 方法获得 Maxwell-Bloch 方程的 N-孤子解

我们主要学习ñ-本文中通过 Riemann-Hilbert (RH) 方法对 Maxwell-Bloch 方程的孤子解。通过对 Lax 对进行光谱分析，构建了相关的 RH 问题。从而得到 Maxwell-Bloch 方程的跳跃矩阵。最后，通过求解无反射情况下的特殊 RH 问题，我们得到了 Maxwell-Bloch 方程的精确解。