Solitary waves described by a high‐order system in optical fiber Bragg gratings with arbitrary refractive index

Abstract

A system of the fourth-order nonlinear differential equations for description of wave propagation in optical fiber Bragg gratings is considered. This system of equations also takes into account arbitrary refractive index. The model includes non-local nonlinearity too. The studied system of equations is transformed into a system of ordinary differential equations using traveling wave variables. Compatibility conditions for the obtained system are defined and analyzed. Exact solutions of the model in the form of solitary waves are found.

Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Kerr Law of Nonlinear Refractive Index

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Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative

“…Over the last few decades, the investigation of optical wave propagation has caught the attention of different scientists in applied mathematics. Many significant developments have been made in the field of nonlinear optics [1][2][3][4][5]. In the realm of nonlinear optics, it is widely known that the propagation of an optical pulse in nonlinear media, including Kerr law and non-Kerr law, may be represented by the nonlinear Schrödinger equation [6].…”

Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Five Nonlinear Forms of Refractive Index

“…These soliton molecules or pulses constitute the fundamentals of the engineering of such communications. Yet, there pressing issues still need to be addressed for smooth and sustainable soliton propagation across long distances through optical fibers [1][2][3][4][5].…”