Exponential--Weierstrass type, exponential--Jacobi type and solitary type solutions to some conformable fractional equations

TL;DR

This paper introduces a novel algebraic method to derive exact traveling wave and solitary solutions for conformable fractional PDEs, utilizing products of exponential with elliptic functions, which are not obtainable by existing methods.

Contribution

The paper presents a new algebraic approach for finding specific exact solutions involving elliptic functions to conformable fractional PDEs, expanding the solution repertoire.

Findings

New solutions involving exponential and elliptic functions are obtained.

The solutions cannot be derived using previous algebraic methods.

The method applies to certain conformable fractional equations.

Abstract

A new algebraic method to find two special types of exact traveling wave solutions and the solitary type solutions to some conformable fractional partial differential equations is proposed. The two special types of solutions given by the product of exponential and Weierstrass elliptic functions, and the product of exponential and Jacobi elliptic functions are new and they cannot be obtained by using the existing algebraic methods.