The (G'G,1G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations
Joint Authors
Zayed, Elsayed M. E.
Alurrfi, K. A. E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The two variable (G'/G,1/G)-expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear evolution equations, namely, the nonlinear Klein-Gordon equations and the nonlinear Pochhammer-Chree equations.
When the parameters are replaced by special values, the well-known solitary wave solutions of these equations are rediscovered from the traveling waves.
This method can be thought of as the generalization of well-known original (G'/G)-expansion method proposed by Wang et al.
It is shown that the two variable (G'/G,1/G)-expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.
American Psychological Association (APA)
Zayed, Elsayed M. E.& Alurrfi, K. A. E.. 2014. The (G'G,1G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-495431
Modern Language Association (MLA)
Zayed, Elsayed M. E.& Alurrfi, K. A. E.. The (G'G,1G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-495431
American Medical Association (AMA)
Zayed, Elsayed M. E.& Alurrfi, K. A. E.. The (G'G,1G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-495431
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495431