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Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique
Optical and Quantum Electronics ( IF 3.3 ) Pub Date : 2021-07-22 , DOI: 10.1007/s11082-021-03083-8
M. Bilal 1 , M. Younis 1 , Aly R. Seadawy 2 , S. T. R. Rizvi 3
Affiliation  

In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by Radhakrishnan–Kundu–Lakshmanan equation in two component form for vector solitons. We extract the solutions in the form of hyperbolic, trigonometric and exponential functions including solitary wave solutions like multiple-optical soliton, mixed complex soliton solutions. The strategy that is used to explain the dynamics of soliton is known as generalized exponential rational function method. Moreover, singular periodic wave solutions are recovered and the constraint conditions for the existence of soliton solutions are also reported. Besides, the physical action of the solution attained are recorded in terms of 3D, 2D and contour plots for distinct parameters. The achieved outcomes show that the applied computational strategy is direct, efficient, concise and can be implemented in more complex phenomena with the assistant of symbolic computations. The primary benefit of this technique is to develop a significant relationships between NLPDEs and others simple NLODEs and we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations



中文翻译:

通过有效的计算技术获得双折射光纤中 Radhakrishnan-Kundu-Lakshmanan 方程的高色散光孤子和其他解

在本文中,我们有兴趣讨论由 Radhakrishnan-Kundu-Lakshmanan 方程建模的双折射光纤中的精确光学土子和其他解,矢量孤子的双分量形式。我们以双曲线、三角函数和指数函数的形式提取解,包括孤波解,如多光孤子、混合复杂孤子解。用于解释孤子动力学的策略被称为广义指数有理函数方法。此外,恢复了奇异周期波解,并给出了孤子解存在的约束条件。此外,所获得的解决方案的物理作用记录在不同参数的 3D、2D 和等高线图中。取得的结果表明,所应用的计算策略直接、高效、简洁,可以在符号计算的辅助下在更复杂的现象中实现。这种技术的主要好处是在 NLPDE 和其他简单 NLODE 之间建立了重要的关系,我们已经成功地获得和组织了各种类型的新解决方案。得到的结果表明,所应用的方法简洁、直接、基本,可以在符号计算的帮助下应用于更复杂的现象。这种技术的主要好处是在 NLPDE 和其他简单 NLODE 之间建立了重要的关系,我们已经成功地获得和组织了各种类型的新解决方案。得到的结果表明,所应用的方法简洁、直接、基本,可以在符号计算的辅助下应用于更复杂的现象。这种技术的主要好处是在 NLPDE 和其他简单 NLODE 之间建立了重要的关系,我们已经成功地获得和组织了各种类型的新解决方案。得到的结果表明,所应用的方法简洁、直接、基本,可以在符号计算的辅助下应用于更复杂的现象。

更新日期:2021-07-22
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