N-soliton solutions for the Maxwell-Bloch equations via the Riemann-Hilbert approach

被引：6
作者：
Li, Yan [1 ]
Li, Jian [1 ]
Wang, Ruiqi [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 21期
基金：
中国国家自然科学基金;
关键词：
Maxwell-Bloch equations; Riemann-Hilbert approach; N-soliton solutions; NONLINEAR SCHRODINGER-EQUATION; DE-VRIES EQUATION; DARBOUX TRANSFORMATION; INTEGRABILITY; BRIGHT;
D O I：
10.1142/S0217984921503565
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
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.
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页数：11
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