DIVERSITY OF SOLITON SOLUTIONS TO THE NONLINEAR FRACTIONAL KADOMA EQUATION

Abstract

In this work, the nonlinear fractional Kadoma equation is investigated with conformable fractional derivative, which is used to portray propagation of optical pulses in nonlinear dispersive media. The enhanced modified fractional extended tanh-expansion method and extended fractional functional variable method are successfully employed to explore the nonlinear fractional Kadoma equation. Various new soliton solutions and periodic solutions are deduced, which are useful for understanding the propagation of optical pulses. Finally, the physical characteristics of these new solutions are analyzed by plotting some 3D and 2D graphs. The proposed two approaches are admirable mathematical tools to deal with various nonlinear models.

Topics & Concepts