Periodic, rogue and lump soliton solutions in fiber Bragg gratings for the coupled form of the nonlinear (? + ?)‎-dimensional kundu-mukherjee-naskar equation

الملخص EN

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.