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.
Time-Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 20, 2013; final manuscript received July 1, 2013; published online July 29, 2013. Assoc. Editor: J. A. Tenreiro Machado.
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Zhang, Y. (July 29, 2013). "Time-Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods." ASME. J. Comput. Nonlinear Dynam. October 2013; 8(4): 041020. https://doi.org/10.1115/1.4024970
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