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首页> 外文期刊>Optical and quantum electronics >M-truncated optical solitons to a nonlinear Schrodinger equation describing the pulse propagation through a two-mode optical fiber
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M-truncated optical solitons to a nonlinear Schrodinger equation describing the pulse propagation through a two-mode optical fiber

机译：M截断的光学孤子到非线性Schrodinger方程，描述通过双模光纤传播的脉冲传播

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摘要

In this paper, the optical solitons with M-truncated derivative and other solutions to the coupled nonlinear Schrodinger equation (NLSE) are obtained. The coupled NLSE describes the pulse propagation through a two-mode optical fiber. Complex amplitude ansatz and polynomial expansion methods are employed to construct such novel solutions. We successfully construct dark, mixed dark-bright, singular optical solitons and other solutions to the considered nonlinear model. Dark soliton describes the solitary waves with lowerintensity than the background, bright soliton describes the solitary waves whose peak intensity is larger thanthe background and the singular soliton solutions is a solitary wave with discontinuous derivatives; examples ofsuch solitary waves include compactions, which have finite (compact) support, and peakons, whose peaks have adiscontinuous first derivative. Numerical simulations of the solutions are used to analyze some of the propagation properties of pulses and their collision dynamics. Fusion along quasi-periodic waves is found to be exhibited. Under nonlinear refractive elements, the graded or phase index waveguide is seen to change the strength of the soliton. In addition, the properties are shown with figures for these solutions. These findings have been usefully extended to the transmission of long-wave and high-power telecommunication systems. In addition, through the figures presented, the effect of the fractional order α is reflected.
机译：在本文中，获得了具有M截断的衍生物的光学孤子和耦合非线性Schrodinger方程（NLSE）的其他溶液。耦合NLSE描述通过双模光纤的脉冲传播。采用复幅振幅和多项式膨胀方法来构建这种新的解决方案。我们成功地构建了深色，混合暗明，奇异的光学孤子和其他解决方案，以考虑的非线性模型。 Dark Soliton描述了比背景的低强度的孤立波浪，明亮的孤子描述了峰值强度是较大的三角形背景的孤立波，并且单数孤子溶液是具有不连续衍生物的孤立的孤波; OSUCH孤立波的实例包括作物，该组分具有有限（紧凑）支撑和峰值，其峰具有副尼接率的第一衍生物。解决方案的数值模拟用于分析脉冲的一些传播特性及其碰撞动力学。发现沿准周期性波融合。在非线性折射元件下，观察到分级或相位指数波导以改变孤子的强度。此外，该属性显示为这些解决方案的图。这些发现已经有用扩展到长波和高功率电信系统的传输。另外，通过所呈现的图，反映了分数α的效果。

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