Applications of an Extended (G′G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics
Joint Authors
al-Joudi, Shorog
Zayed, Elsayed M. E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-22
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We construct the traveling wave solutions of the (1+1)-dimensional modified Benjamin-Bona-Mahony equation, the (2+1)-dimensional typical breaking soliton equation, the (1+1)-dimensional classical Boussinesq equations, and the (2+1)-dimensional Broer-Kaup-Kuperschmidt equations by using an extended (G′/G)-expansion method, where G satisfies the second-order linear ordinary differential equation.
By using this method, new exact solutions involving parameters, expressed by three types of functions which are hyperbolic, trigonometric and rational function solutions, are obtained.
When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.
American Psychological Association (APA)
Zayed, Elsayed M. E.& al-Joudi, Shorog. 2010. Applications of an Extended (G′G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-497255
Modern Language Association (MLA)
Zayed, Elsayed M. E.& al-Joudi, Shorog. Applications of an Extended (G′G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics. Mathematical Problems in Engineering No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-497255
American Medical Association (AMA)
Zayed, Elsayed M. E.& al-Joudi, Shorog. Applications of an Extended (G′G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-497255
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497255