Multi-soliton propagation in a generalized inhomogeneous nonlinear Schrödinger-Maxwell-Bloch system with loss/gain driven by an external potential
Multi-soliton propagation in a generalized inhomogeneous nonlinear Schrödinger-Maxwell-Bloch system with loss/gain driven by an external potential
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DOI：
10.1063/1.4798477
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发表时间：
2013-04
影响因子：
1.3
通讯作者：
M. M. Rajan-M.;A. Mahalingam
中科院分区：
文献类型：
--
作者：
M. M. Rajan-M.;A. Mahalingam
本文引入了一个变系数非线性Schrodinger-Maxwell-Bloch方程组，该方程组描述了光脉冲在具有损耗/增益的非均匀掺铒光纤中的传输。利用达布变换和相应的Lax对，得到了一个和两个孤子的显式解。我们考虑了分布式放大系统，并以图形方式展示了解决方案的一些主要特点。我们还考虑了色散管理掺铒光纤中孤子传输的概念，并通过符号计算，从解析的角度进行了研究。
In this paper, we introduce a system of the nonlinear Schrodinger-Maxwell-Bloch equation with variable coefficients which represents the propagation of optical pulses in an inhomogeneous erbium doped fiber with loss/gain driven by an external potential. The one and two soliton solutions in explicit forms are generated by using the Darboux transformation and the associated Lax pair. We consider the distributed amplification system, and some main features of the solutions are demonstrated graphically. We also consider the concept of soliton propagation in a dispersion managed erbium doped fiber and through symbolic computation, we have carried out our study from an analytic viewpoint.