Unification of all hyperbolic tangent function methods
Yazarlar (3)
Ömer Faruk Gözüklzll
Sakarya Üniversitesi, Türkiye
Samil Akcaǧll
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 / 524–541 | DOI | 10.1515/phys-2016-0051 |
| Makale Linki | https://doi.org/10.1515/phys-2016-0051 | ||
| Özet |
| Over the last twenty years, several "different" hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs). The most common of these methods were the tanh-function method, the extended tanh-function method, the modified extended tanh-function method, and the complex tanh-function method. Besides the excellent sides of these methods, weaknesses and deficiencies of each method were encountered. The authors realized that they did not actually give "very different and comprehensive results", and some of them are even unnecessary. Therefore, these methods were analysed and significant findings obtained. Firstly, they compared all of these methods with each other and gave the connections between them; and secondly, they proposed a more general method to obtain many more solutions for NPDEs, some of which having never been obtained before, and thus to overcome weaknesses and deficiencies of existing hyperbolic tangent function methods in the literature. This new method, named as the unified method, provides many more solutions in a straightforward, concise and elegant manner without reproducing a lot of different forms of the same solution. Lastly, they demonstrate the effectiveness of the unifed tanh method by seeking more exact solutions of the Rabinovich wave equation which were not obtained before. |
| Anahtar Kelimeler |
| The complex tanhfunction method | The extended tanh-function method | The modified extended tanh-function method | The Rabinovich wave equation | The tanh-function method | The unified method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 24 |
| SCOPUS | 32 |
| Google Scholar | 42 |