The dynamic behaviors between double-hump solitons in birefringent fibers

IF 2.1 3区 物理与天体物理 Q2 ACOUSTICS
Liu Yang, Ben Gao
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引用次数: 0

Abstract

In this paper, we research the fractional coupled Hirota equations with variable coefficients describing the collisions of two waves in deep oceans and the propagation of ultrashort light pulses in birefringent fibers and successfully acquire the double-hump one-soliton, two-solitons and N-solitons solutions via the Hirota bilinear method. At the same time, the Bäcklund transformation and the corresponding soliton solutions are also obtained. Based on the precise forms of the solitons solutions, we gain double-hump solitons images with different shapes including U-shape, V-shape and wave-type by assigning proper functions to the group velocity dispersion and the third-order dispersion and analyze the interaction dynamics of double-hump solitons. It is worth noting that the Hirota bilinear operators involved here are fractional rather than integer, which has never appeared in previous literatures.
双折射光纤中双驼峰孤子之间的动态行为
本文研究了描述深海中两波碰撞和超短光脉冲在双折射光纤中传播的分数耦合可变系数 Hirota 方程,并通过 Hirota 双线性方法成功获得了双驼峰单孤子、双孤子和 N 孤子解。同时,还获得了贝克隆变换和相应的孤子解。在孤子解的精确形式基础上,通过给群速度色散和三阶色散赋予适当的函数,我们得到了不同形状的双驼峰孤子图像,包括 U 型、V 型和波型,并分析了双驼峰孤子的相互作用动力学。值得注意的是,这里涉及的 Hirota 双线性算子是分数算子而不是整数算子,这在以往的文献中从未出现过。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Wave Motion
Wave Motion 物理-力学
CiteScore
4.10
自引率
8.30%
发文量
118
审稿时长
3 months
期刊介绍: Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.
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