New Exact Solutions of Ion-Acoustic Wave Equations by (G′G)-Expansion Method
Joint Authors
Noorani, Mohd. Salmi Md.
Hashim, Ishak
Taha, Wafaa M.
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The (G′/G)-expansion method is used to study ion-acoustic waves equations in plasma physic for the first time.
Many new exact traveling wave solutions of the Schamel equation, Schamel-KdV (S-KdV), and the two-dimensional modified KP (Kadomtsev-Petviashvili) equation with square root nonlinearity are constructed.
The traveling wave solutions obtained via this method are expressed by hyperbolic functions, the trigonometric functions, and the rational functions.
In addition to solitary waves solutions, a variety of special solutions like kink shaped, antikink shaped, and bell type solitary solutions are obtained when the choice of parameters is taken at special values.
Two- and three-dimensional plots are drawn to illustrate the nature of solutions.
Moreover, the solution obtained via this method is in good agreement with previously obtained solutions of other researchers.
American Psychological Association (APA)
Taha, Wafaa M.& Noorani, Mohd. Salmi Md.& Hashim, Ishak. 2013. New Exact Solutions of Ion-Acoustic Wave Equations by (G′G)-Expansion Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499949
Modern Language Association (MLA)
Taha, Wafaa M.…[et al.]. New Exact Solutions of Ion-Acoustic Wave Equations by (G′G)-Expansion Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-499949
American Medical Association (AMA)
Taha, Wafaa M.& Noorani, Mohd. Salmi Md.& Hashim, Ishak. New Exact Solutions of Ion-Acoustic Wave Equations by (G′G)-Expansion Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-499949
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499949