Applications of the novel (\(G' / G\))-expansion method for a time fractional simplified modified Camassa-Holm (MCH) equation
type: Item
instance of: scholarly article
title: Applications of the novel (\(G' / G\))-expansion method for a time fractional simplified modified Camassa-Holm (MCH) equation
zbMATH Open document ID: 1474.35671
DOI: 10.1155/2014/601961
author: Muhammad Shakeel
author: Jamshad Ahmad
author: Qazi Mahmood Ul Hassan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7022700
Wikidata QID: Q59039857
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/601961
OpenAlex ID: W2095471900
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description: scientific article; zbMATH DE number 7022700