Exact Solutions of Space-time Fractional EW and modified EW equations

TL;DR

This paper derives exact bright soliton and singular solutions for space-time fractional EW and modified EW equations using fractional complex transforms and ansatz methods, contributing to the analytical understanding of fractional differential equations.

Contribution

It introduces a method to obtain exact solutions of space-time fractional EW and modified EW equations using fractional complex transforms and ansatz techniques.

Findings

Constructed bright soliton solutions

Derived singular solutions

Reduced fractional equations to ordinary differential equations

Abstract

The bright soliton solutions and singular solutions are constructed for space-time fractional EW and modified EW equations. Both equations are reduced to ordinary differential equations by the use of fractional complex transform and properties of modified Riemann-Liouville derivative. Then, implementation of ansatz method the solutions are constructed.