New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method | Zendy

Wafaa M. Taha | Zendy; Mohd Salmi Md Noorani | Zendy; Ishak Hashim | Zendy

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New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method

Author(s) -

Wafaa M. Taha,

Mohd Salmi Md Noorani,

Ishak Hashim

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/810729

Subject(s) - hyperbolic function , korteweg–de vries equation , algorithm , traveling wave , mathematics , computer science , mathematical analysis , physics , nonlinear system , quantum mechanics

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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