Abstract

The current work handles for the first time, dispersive optical solitons in fiber Bragg gratings for the nonlinear (2+1)-dimensional Kundu–Mukherjee–Naskar equation. Two integration schemes, namely, the modified Kudryashov’s approach and the addendum to Kudryashov’s methodology are applied. Dark and bright soliton solutions as long as explicit solutions are obtained. Also, combo bright-singular solutions are introduced.

Highlights

  • Fiber Bragg gratings (FBGs) are of tremendous interests to physicists and engineers during the past couple of decades or more because of its applications

  • Optical solitons in FBGs have been gained with governing models that describe the dynamics of soliton propagation, such as the Biswas–Milovic equation, Lakshmanan–Porsezian–Daniel model, Fokas–Lenells equation, Kundu–Mukherjee–Naskar model, Biswas–Arshed equation, complex Ginzburg–Landau equation, Kudryashov’s model, Chen–Lee–Liu equation, Sasa–Satsuma equation, Kaup–Newell equation, Gerdjikov–Ivanov equation, Kundu–Eckhaus equation, Triki–Biswas model and Manakov model

  • Kundu-Mukherjee-Naskar equation that has solved by aid of two integration schemes

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Summary

Introduction

Fiber Bragg gratings (FBGs) are of tremendous interests to physicists and engineers during the past couple of decades or more because of its applications. Optical solitons of the model equation are revealed by the modi...ed Kudryashov’s approach [17,18,19] and the addendum to Kudryashov’s methodology [13, 17,18,19]. These solitons are reported in this paper for the ...rst time. The details are sketched through, after a thorough introduction to the governing model

Governing model
Mathematical preliminaries
The addendum to Kudryashov0s method
Numerical simulations
Conclusions
Full Text
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