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Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations using the modified simple equation method
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | Kamruzzaman Khan M. Ali Akbar |
| Abstract | The modified simple equation (MSE) method is thriving in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this study, we bring to bear the MSE method to look for the exact solutions via the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations involving parameters. When the parameters receive special values, solitary wave solutions are derived from the exact solutions. By means of this scheme, we found some fresh traveling wave solutions of the above mentioned equations. |
| Related Links | http://www.sciencedirect.com/science/article/pii/S2090447913000257 |
| ISSN | 20904479 |
| e-ISSN | 20904495 |
| DOI | 10.1016/j.asej.2013.01.010 |
| Journal | Ain Shams Engineering Journal |
| Issue Number | 4 |
| Volume Number | 4 |
| Language | English |
| Publisher | Elsevier |
| Publisher Date | 2013-01-01 |
| Publisher Place | Egypt |
| Access Restriction | Open |
| Subject Keyword | Engineering (general). Civil Engineering (general) Modified Simple Equation Method Nonlinear Evolution Equations Solitary Wave Solutions Exact Solutions Tzitzeica–dodd–bullough Equation Modified Kdv–zakharov–kuznetsov Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Engineering |