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

2020/11/11 by Sirendaoreji
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2011.05635

openalex publication_date 2020/11/11 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

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.

Related

• Traveling Wave Solutions to Conformable Time Fractional RLW-class equations
• Exact Solutions to Some Conformable Time Fractional Equations in\n Benjamin-Bona-Mahony Family
• Traveling Waves in Rational Expressions of Exponential Functions to the Conformable Time Fractional Jimbo-Miwa and Zakharov-Kuznetsov Equations
• Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method
• Solitary wave solutions of nonlinear partial differential equations based on the simplest equation for the function 1/\coshⁿ