当前位置: X-MOL 学术Alex. Eng. J. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Modulation instability analysis and optical solitons in birefringent fibers to RKL equation without four wave mixing
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2020-11-07 , DOI: 10.1016/j.aej.2020.10.055
Shafqat ur Rehman , Jamshad Ahmad

In this present work, we retrieve the optical solitons in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan (RKL) equation in coupled vector form. The system is composed of self-phase, cross-phase modulation terms, self-steepening terms and the effect of four-wave mixing is discarded. In this article, by employing innovative integration norms known as the extended rational sine-cosine/sinh-cosh techniques different forms of optical solitons like dark, singular, combined and complex soliton solutions are recovered. Furthermore, singular periodic wave solutions are also observed. The constraint conditions which ensure the formation of soliton solutions are also specified. By using the suitable values of the parameters involved, the 2-, 3-dimensional and the contour graphs of some of the reported solutions are plotted. The stability of the given model is studied by exercising the modulation instability analysis which confirms that the model is stable and guarantees that all extracted solutions are stable and exact.



中文翻译:

在没有四波混频的情况下,双折射光纤的调制不稳定性分析和光孤子符合RKL方程

在本工作中,我们以耦合向量形式通过Radhakrishnan-Kundu-Lakshmanan(RKL)方程建模的双折射光纤中检索光学孤子。该系统由自相位,交叉相位调制项,自加陡度项组成,舍弃了四波混频的效果。在本文中,通过采用称为扩展有理正弦余弦/正弦余弦技术的创新积分规范,可以恢复不同形式的光学孤子,例如暗,奇异,组合和复杂孤子解决方案。此外,还观察到奇异的周期波解。还规定了确保形成孤子解的约束条件。通过使用所涉及参数的合适值,可以绘制某些已报告解决方案的二维,三维和等高线图。

更新日期:2020-11-09
down
wechat
bug