## OPTICAL SOLITON SOLUTIONS OF THE FRACTIONAL PERTURBED NONLINEAR SCHRÖDINGER EQUATION

## OPTICAL SOLITON SOLUTIONS OF THE FRACTIONAL PERTURBED NONLINEAR SCHRÖDINGER EQUATION

*K. K. Ali, S. B. G. Karakoc, H. Rezazadeh*

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## Abstract

This paper is interested in a set of conformable fractional derivative for constructing optical soliton solutions to the fractional perturbed nonlinear Schro ̈dinger equation. The powerful Kudryashov method is the integration scheme that has been im- plemented to retrieve the solitary wave solutions. After converting equation to integer- ordered ordinary differential equations, replacing the suggested form for the solution into the integer-ordered ordinary differential equations, the nonzero coefficients in solutions are detected. Some graphical illustrations of the obtained solutions for the different cases are drawn. Our results prove the correctness and durableness of the method which can be further used for solving such problems appearing in plasma physics, optical fibers, fluid dynamics, nonlinear optics etc.

## Keywords

The fractional perturbed nonlinear Schro ̈dinger equation, Kudryashov method, optical solutions, soliton.