Paper Info
Title
New Exact Solutions of Ion-Acoustic Wave Equations by (G'/G)-Expansion Method.
Abstract
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.
Year
DOI
Venue
2013
10.1155/2013/810729
JOURNAL OF APPLIED MATHEMATICS
DocType
Volume
ISSN
Journal
2013
1110-757X
Citations 
PageRank 
References 
0
0.34
13
Authors
3
Name
Order
Citations
PageRank
Wafaa M. Taha100.34
Mohd Salmi Md Noorani2125.33
Ishak Hashim37516.70