Applications of the Novel ( G ′ G )-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation
Joint Authors
Ul Hassan, Qazi Mahmood
Shakeel, Muhammad
Ahmad, Jamshad
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shakeel, Muhammad& Ul Hassan, Qazi Mahmood& Ahmad, Jamshad. 2014. Applications of the Novel ( G ′ G )-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033866
Modern Language Association (MLA)
Shakeel, Muhammad…[et al.]. Applications of the Novel ( G ′ G )-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1033866
American Medical Association (AMA)
Shakeel, Muhammad& Ul Hassan, Qazi Mahmood& Ahmad, Jamshad. Applications of the Novel ( G ′ G )-Expansion Method for a Time Fractional Simplified Modified Camassa-Holm (MCH) Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033866