Periodic, Rogue and Lump Soliton Solutions in Fiber Bragg Gratings for the Coupled Form of the Nonlinear (2+1)-Dimensional Kundu-Mukherjee-Naskar Equation

Authors

  • Abdumalik A. Altwaty Department of Mathematics, Faculty of Arts & Science, University of Benghazi, Al Marj, Libya
  • Amnnah Mohammed Ahmed Nasr Department of Mathematics, Faculty of Education, Al-Jufra University, Al-Jufra, Libya
  • Ngla Farag Mahmoud-Meriki Department of Mathematics, Faculty of Arts & Science, University of Benghazi, Al Marj, Libya
  • Suhaylah Mahmoud Ali Department of Computer Science, Higher Institute of Science and Technology, Al Marj, Libya

Keywords:

Optical Solitons, Periodic Cross-Kink Wave, Rogue Wave, Lump Interaction With Kink And Rogue Waves, Fiber Bragg Gratings, Kundu-Mukherjee-Naskar Equation

Abstract

In this article, the coupled version of the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation in fiber bragg gratings was examined. To support the new optical solutions of the coupled form of the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation in Fiber Bragg Gratings (FBGs), three well-known techniques were used: Periodic Cross-Kink wave, Rogue wave, and Lump interaction with kink and rogue waves. A novel type of traveling wave solution with interaction phenomena was produced by applying the proper functions of the solutions. Two and three-dimensional visualizations were used to depict the dynamics of the created solutions, demonstrating the dependability and effectiveness of the offered methods.

Dimensions

Published

2023-10-05

How to Cite

Abdumalik A. Altwaty, Amnnah Mohammed Ahmed Nasr, Ngla Farag Mahmoud-Meriki, & Suhaylah Mahmoud Ali. (2023). Periodic, Rogue and Lump Soliton Solutions in Fiber Bragg Gratings for the Coupled Form of the Nonlinear (2+1)-Dimensional Kundu-Mukherjee-Naskar Equation . African Journal of Advanced Pure and Applied Sciences (AJAPAS), 2(4), 28–36. Retrieved from https://aaasjournals.com/index.php/ajapas/article/view/546

Issue

Volume 2, Issue 4, October-December 2023

Section

Articles
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