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arXiv · 1210.2501

Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

Chuanzhong Li·Jingsong He
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Abstract

In this paper, we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB) equations which is governed by femtosecond pulse propagation through inhomogeneous doped fibre. The determinant representation of Darboux transformation is used to derive soliton solutions, positon solutions of the IH-MB equations.

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Chuanzhong Li, Jingsong He. 2012-10-09. Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation. https://arxiv.org/abs/1210.2501

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