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

Mathematics

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