Comparison between the (G’/G) - expansion method and the modified extended tanh method
Yazarlar (2)
Şamil Akçaǧi
Bilecik Şeyh Edebali Üniversitesi, Türkiye
Doç. Dr. Tuğba AYDEMİR
Yalova Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Open Physics (Q3) | ||
| Dergi ISSN | 2391-5471 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2016 |
| Cilt / Sayı / Sayfa | 14 / 1 / 88–94 | DOI | 10.1515/phys-2016-0006 |
| Makale Linki | http://dx.doi.org/10.1515/phys-2016-0006 | ||
| Özet |
| In this paper, firstly, we give a connection between well known and commonly used methods called the (G'/G)-expansion method and the modified extended tanh method which are often used for finding exact solutions of nonlinear partial differential equations (NPDEs). We demonstrate that giving a convenient transformation and formula, all of the solutions obtained by using the (G'/G)-expansion method can be converted the solutions obtained by using the modified extended tanh method. Secondly, contrary to the assertion in some papers, the (G'/G)-expansion method gives neither all of the solutions obtained by using the other method nor new solutions for NPDEs. Namely, while the modified extended tanh method gives more solutions in a straightforward, concise and elegant manner without reproducing a lot of different forms of the same solution. On the other hand, the (G'/G)-expansion method provides less solutions in a rather cumbersome form. Lastly, we obtain new exact solutions for the Lonngren wave equation as an illustrative example by using these methods. |
| Anahtar Kelimeler |
| An exact solution | The (G/G)-expansion method | The Lonngren wave equation | The modified extended tanh function method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 43 |
| SCOPUS | 46 |
| Google Scholar | 57 |