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

2012/10/09 by Chuanzhong Li, Jingsong He, Li, Chuanzhong +2 · 1 citation
Engineering · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optical Network Technologies #nlin.SI

paper · pdf · doi:10.48550/arxiv.1210.2501

accepted by SCIENCE CHINA Physics, Mechanics & Astronomy. arXiv admin note: substantial text overlap with arXiv:1205.1191

arxiv created 2012/10/09 · arxiv updated 2012/10/10

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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• Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation

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