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2013 New Exact Solutions of Ion-Acoustic Wave Equations by (G/G)-Expansion Method
Wafaa M. Taha, M. S. M. Noorani, I. Hashim
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/810729


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.


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Wafaa M. Taha. M. S. M. Noorani. I. Hashim. "New Exact Solutions of Ion-Acoustic Wave Equations by (G/G)-Expansion Method." J. Appl. Math. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950889
MathSciNet: MR3124606
Digital Object Identifier: 10.1155/2013/810729

Rights: Copyright © 2013 Hindawi


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