On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave
Joint Authors
Yang, Xiao-Jun
Baleanu, Dumitru
Al Qurashi, Maysaa’ Mohamed
Rusagara, Innocent
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We investigate a nonlinear wave phenomenon described by the perturbation K(n,m) Rosenau-Hyman equation within the concept of derivative with fractional order.
We used the Caputo fractional derivative and we proposed an iteration method in order to find a particular solution of the extended perturbation equation.
We proved the stability and the convergence of the suggested method for solving the extended equation without any restriction on (m,n) and also on the perturbations terms.
Using the inner product we proved the uniqueness of the special solution.
By choosing randomly the fractional orders and m, we presented the numerical solutions.
American Psychological Association (APA)
Rusagara, Innocent& Baleanu, Dumitru& Al Qurashi, Maysaa’ Mohamed& Yang, Xiao-Jun. 2015. On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1053020
Modern Language Association (MLA)
Rusagara, Innocent…[et al.]. On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave. Advances in Mathematical Physics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1053020
American Medical Association (AMA)
Rusagara, Innocent& Baleanu, Dumitru& Al Qurashi, Maysaa’ Mohamed& Yang, Xiao-Jun. On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1053020
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053020