W-chirped solitons and modulated waves patterns in parabolic law medium with anti-cubic nonlinearity

IF 2.9 4区 物理与天体物理 Q2 OPTICS Journal of Nonlinear Optical Physics & Materials Pub Date : 2023-11-02 DOI:10.1142/s021886352350087x
Souleymanou Abbagari, Alphonse Houwe, Lanre Akinyemi, Mehmet Senol, Thomas Bouetou Bouetou
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Abstract

In this work, investigation of the W-chirped solitons and modulation instability are addressed in nonlinear optic fibers where cubic-quintic and parabolic law parameters are used. For this reason, the modified cubic-quintic complex Ginzburg–Landau equation with parabolic law nonlinearity is employed. Using the sub-ODE method, the chirp component and combined chirped soliton solutions, including rational soliton solutions, are obtained. Using specific parameters of the nonlinear structure, one can identify dark and bright solitons. For a suitable constant parameter of the chirp component, the W-chirped bright as well as the combined bright-dark solitons are displayed via the 3D plots. The linear stability analysis of the plane wave is used to derive an expression of the modulation instability spectrum that is employed to show the effects of the nonlinear parameters in normal and anomalous dispersion regimes. It is pointed out that both cubic and quintic parameters can enlarge or reduce the bandwidth of the modulation instability. Through the numerical simulation of the continuous wave, it becomes apparent that for suitable optical fiber parameter values, modulated wave objects are formed to exhibit mild oscillations. For specific wavenumber excitation, another modulated wave object is depicted to show how the unstable mode can switch to the stable mode for the long-time evolution of the continuous wave. The obtained results could certainly open a new future for signal treatment in optical fiber, where parabolic law is considered.
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反三次非线性抛物律介质中的w啁啾孤子和调制波型
在本文中,研究了使用三次五次和抛物律参数的非线性光纤中w啁啾孤子和调制不稳定性。为此,采用了具有抛物律非线性的修正三次五次复金兹堡-朗道方程。利用子ode方法,得到了啁啾分量和组合啁啾孤子解,包括有理孤子解。利用非线性结构的特定参数,可以识别出暗孤子和亮孤子。选取合适的啁啾分量常数,通过三维图显示出w啁啾的亮孤子和明暗组合孤子。利用平面波的线性稳定性分析,导出了调制不稳定谱的表达式,该表达式用于显示非线性参数在正常和异常色散状态下的影响。指出三次参数和五次参数都可以增大或减小调制不稳定性的带宽。通过对连续波的数值模拟,可以看出,在合适的光纤参数值下,形成的调制波对象表现出轻微的振荡。对于特定波数激励,描述了另一个调制波对象,以显示连续波的长时间演化如何从不稳定模式切换到稳定模式。研究结果为光纤信号处理开辟了一条新的道路。
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来源期刊
CiteScore
3.00
自引率
48.10%
发文量
53
审稿时长
3 months
期刊介绍: This journal is devoted to the rapidly advancing research and development in the field of nonlinear interactions of light with matter. Topics of interest include, but are not limited to, nonlinear optical materials, metamaterials and plasmonics, nano-photonic structures, stimulated scatterings, harmonic generations, wave mixing, real time holography, guided waves and solitons, bistabilities, instabilities and nonlinear dynamics, and their applications in laser and coherent lightwave amplification, guiding, switching, modulation, communication and information processing. Original papers, comprehensive reviews and rapid communications reporting original theories and observations are sought for in these and related areas. This journal will also publish proceedings of important international meetings and workshops. It is intended for graduate students, scientists and researchers in academic, industrial and government research institutions.
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