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2014 Applications of the Novel (G/G)-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation
Muhammad Shakeel, Qazi Mahmood Ul-Hassan, Jamshad Ahmad
Abstr. Appl. Anal. 2014(SI04): 1-16 (2014). DOI: 10.1155/2014/601961


We use the fractional derivatives in modified Riemann-Liouville derivative sense to construct exact solutions of time fractional simplified modified Camassa-Holm (MCH) equation. A generalized fractional complex transform is properly used to convert this equation to ordinary differential equation and, as a result, many exact analytical solutions are obtained with more free parameters. When these free parameters are taken as particular values, the traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. Moreover, the numerical presentations of some of the solutions have been demonstrated with the aid of commercial software Maple. The recital of the method is trustworthy and useful and gives more new general exact solutions.


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Muhammad Shakeel. Qazi Mahmood Ul-Hassan. Jamshad Ahmad. "Applications of the Novel (G/G)-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation." Abstr. Appl. Anal. 2014 (SI04) 1 - 16, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022700
MathSciNet: MR3226213
Digital Object Identifier: 10.1155/2014/601961

Rights: Copyright © 2014 Hindawi


Vol.2014 • No. SI04 • 2014
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