New optical analytical solutions to the full nonlinearity form of the space-time Fokas-Lenells model of fractional-order

Abstract

In this paper, the full nonlinearity form of the space-time fractional Fokas-Lenells equation is scrutinized to get new analytical solutions. To achieve this, a convenient method is applied namely, a new Kudryashov method. The achieved solutions show pulse propagation in different wave patterns such as singular bell shape, peakon, singular anti-bell shape, dark, anti-bell and bright solutions. These physical characteristics are studied thoroughly by the graphical representation, which shows the fruitfulness and functionality of the proposed method.