用增强直接代数法研究具有乘法白噪声的分散协集模型的光学孤子

A. H. Arnous, A. Biswas, Y. Yıldırım, A. Alshomrani
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引用次数: 0

摘要

本文研究了色散串联模型的意义,并结合了白噪声存在时的自相位调制克尔定律。我们的方法依赖于增强的直接代数积分法。我们发现,中间解可以用雅各比椭圆函数来表示,当椭圆度模数接近一的时候,就会产生孤子解。这一发现最终导致了各种光学孤子的出现。我们的研究结果为现有文献提供了新颖性,深入揭示了色散串联模型中光孤子的行为,在理解这一复杂现象方面取得了重大进展。
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Optical Solitons with Dispersive Concatenation Model Having Multiplicative White Noise by the Enhanced Direct Algebraic Method
This paper investigates the significance of the dispersive concatenation model, incorporating the Kerr law of self-phase modulation in the presence of white noise. Our methodology relies on the enhanced direct algebraic method for integration. We reveal that intermediate solutions are expressed in terms of Jacobi's elliptic functions, leading to soliton solutions as the modulus of ellipticity approaches unity. This discovery culminates in the emergence of a diverse range of optical solitons. Our findings contribute novelty to the existing literature by offering insights into the behavior of optical solitons within the dispersive concatenation model, presenting a significant advancement in understanding this complex phenomenon.
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