Optical solitons in Fiber Bragg Gratings for the coupled form of the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation via four powerful techniques

IF 4.4 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Results in Physics Pub Date : 2023-01-01 DOI:10.1016/j.rinp.2022.106205

Abdulmalik A. Altwaty

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引用次数: 3

Abstract

In this article, four powerful techniques namely, the three wave method, double exponential, homoclinic breather, M-Shaped rational, M-Shaped with one kink, and M-Shaped with two kink are putting into practice to bolster the new optical solutions of the coupled form of the nonlinear $(2 + 1)$ -dimensional Kundu-Mukherjee-Naskar equation in Fiber Bragg Gratings (FBGs). Implementation of the appropriate functions of the solutions results in a different form of multi-wave solutions with their interaction phenomena such as dark soliton solutions, singular soliton solutions, bright soliton solutions, kink soliton solutions, Multi-Peak soliton solutions, multi dark-bright soliton solutions, multi bright soliton solutions, multi dark soliton solutions with different structure, multi M-Shaped soliton solutions, multi M-Shaped soliton solutions, M-Shaped soliton solutions with different structure, kink soliton solutions with different structure, and periodical M-Shaped soliton solutions. Three-dimensional graphics demonstrating the dependability and productivity of the suggested methodologies are used to describe the dynamics of the produced solutions.

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光纤Bragg光栅中非线性(2+1)维Kundu-Mukherjee-Naskar方程耦合形式的光孤子

本文将三波法、双指数法、同宿呼吸法、M形有理法、一扭结M形法和两扭结M形方法这四种强大的技术付诸实践，以支持光纤布拉格光栅中非线性（2+1）维Kundu-Mukherjee-Naskar方程耦合形式的新光学解。解的适当函数的实现导致不同形式的多波解及其相互作用现象，如暗孤子解、奇异孤子解、亮孤子解、扭结孤子解、多峰孤子解、多重暗亮孤子解和多重亮孤子解，不同结构的多暗孤子解、多M形孤子解、多重M形孤子溶液、不同结构的M形孤子解决方案、不同结构扭折孤子解决方案和周期性M形孤立子解决方案。三维图形显示了所建议方法的可靠性和生产力，用于描述所产生的解决方案的动态。

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来源期刊

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

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