OPTICAL SOLITON SOLUTIONS OF THE FRACTIONALPERTURBED NONLINEAR SCHR ̈ODINGER EQUATION

Özet

Abstract.This paper is interested in a set of conformable fractional derivative forconstructing optical soliton solutions to the fractional perturbed nonlinear Schr ̈odingerequation. 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 intothe integer-ordered ordinary differential equations, the nonzero coefficients in solutionsare detected. Some graphical illustrations of the obtained solutions for the different casesare drawn. Our results prove the correctness and durableness of the method which canbe further used for solving such problems appearing in plasma physics, optical fibers,fluid dynamics, nonlinear optics etc.