Time Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods

Abstract

This paper presents the formulation of the timefractional Camassa–Holm equation using the Euler–Lagrange variational technique in the Riemann–Liouville derivative sense and derives an approximate solitary wave solution. Our results witness that He's variational iteration method was a very efficient and powerful technique in finding the solution of the proposed equation.