In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz., Riesz time-fractional Camassa–Holm (CH) equation by modified homotopy analysis method (MHAM). As a result, new types of solutions are obtained. Then, we analyze the results by numerical simulations, which demonstrate the simplicity and effectiveness of the present method. The main aim of this paper is to employ a new approach, which enables us successful and efficient derivation of the analytical solutions for the Riesz time-fractional CH equation.
Traveling Wave Solutions to Riesz Time-Fractional Camassa–Holm Equation in Modeling for Shallow-Water Waves
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 22, 2014; final manuscript received February 4, 2015; published online June 25, 2015. Assoc. Editor: J. A. Tenreiro Machado.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Saha Ray, S., and Sahoo, S. (November 1, 2015). "Traveling Wave Solutions to Riesz Time-Fractional Camassa–Holm Equation in Modeling for Shallow-Water Waves." ASME. J. Comput. Nonlinear Dynam. November 2015; 10(6): 061026. https://doi.org/10.1115/1.4029800
Download citation file:
- Ris (Zotero)
- Reference Manager