The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation
we apply the improved (G′/G)-expansion method for constructing abundant new exact traveling wave solutions of the (2+1)-dimensional Modified Zakharov-Kuznetsov equation. In addition, G″+λG′+μG=0 together with b(α)=∑q=−wwpq(G′/G)q is employed in this method, where pq (q=0,±1,±2,…,±w), λ and μ are c...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/438928 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554534565576704 |
|---|---|
| author | Hasibun Naher Farah Aini Abdullah |
| author_facet | Hasibun Naher Farah Aini Abdullah |
| author_sort | Hasibun Naher |
| collection | DOAJ |
| description | we apply the improved (G′/G)-expansion method for constructing abundant new exact traveling wave solutions of the (2+1)-dimensional Modified Zakharov-Kuznetsov equation. In addition, G″+λG′+μG=0 together with b(α)=∑q=−wwpq(G′/G)q is employed in this method, where pq (q=0,±1,±2,…,±w), λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions. |
| format | Article |
| id | doaj-art-ee04c38e448743fe8b2c6d7505b1b0cb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ee04c38e448743fe8b2c6d7505b1b0cb2025-02-03T05:51:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/438928438928The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov EquationHasibun Naher0Farah Aini Abdullah1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysiawe apply the improved (G′/G)-expansion method for constructing abundant new exact traveling wave solutions of the (2+1)-dimensional Modified Zakharov-Kuznetsov equation. In addition, G″+λG′+μG=0 together with b(α)=∑q=−wwpq(G′/G)q is employed in this method, where pq (q=0,±1,±2,…,±w), λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions.http://dx.doi.org/10.1155/2012/438928 |
| spellingShingle | Hasibun Naher Farah Aini Abdullah The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation Journal of Applied Mathematics |
| title | The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation |
| title_full | The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation |
| title_fullStr | The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation |
| title_full_unstemmed | The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation |
| title_short | The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation |
| title_sort | improved g g expansion method for the 2 1 dimensional modified zakharov kuznetsov equation |
| url | http://dx.doi.org/10.1155/2012/438928 |
| work_keys_str_mv | AT hasibunnaher theimprovedggexpansionmethodforthe21dimensionalmodifiedzakharovkuznetsovequation AT farahainiabdullah theimprovedggexpansionmethodforthe21dimensionalmodifiedzakharovkuznetsovequation AT hasibunnaher improvedggexpansionmethodforthe21dimensionalmodifiedzakharovkuznetsovequation AT farahainiabdullah improvedggexpansionmethodforthe21dimensionalmodifiedzakharovkuznetsovequation |