New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/810729 |
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| author | Wafaa M. Taha M. S. M. Noorani I. Hashim |
| author_facet | Wafaa M. Taha M. S. M. Noorani I. Hashim |
| author_sort | Wafaa M. Taha |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-42f6b612c0c545a3935fd684ecbdf893 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-42f6b612c0c545a3935fd684ecbdf8932025-02-03T05:57:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/810729810729New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion MethodWafaa M. Taha0M. S. M. Noorani1I. Hashim2School of Mathematical Sciences, Universiti Kebangsaan Malaysia UKM, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia UKM, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia UKM, 43600 Bangi, Selangor, MalaysiaThe (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.http://dx.doi.org/10.1155/2013/810729 |
| spellingShingle | Wafaa M. Taha M. S. M. Noorani I. Hashim New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method Journal of Applied Mathematics |
| title | New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method |
| title_full | New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method |
| title_fullStr | New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method |
| title_full_unstemmed | New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method |
| title_short | New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method |
| title_sort | new exact solutions of ion acoustic wave equations by g g expansion method |
| url | http://dx.doi.org/10.1155/2013/810729 |
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