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

摘要

This paper presents the formulation of the time-fractional 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.