New exact solutions for the Khokhlov Zabolotskaya Kuznetsov the Newell Whitehead Segel and the Rabinovich wave equations by using a new modification of the tanh coth method
Yazarlar (2)
Şamil Akçağıl
Bilecik Şeyh Edebali Üniversitesi, Türkiye
Doç. Dr. Tuğba AYDEMİR
Yalova Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Cogent Mathematics | ||
| Dergi ISSN | 2331-1835 | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2016 |
| Cilt / Sayı / Sayfa | 3 / 1 / 1–12 | DOI | 10.1080/23311835.2016.1193104 |
| Makale Linki | https://www.tandfonline.com/doi/full/10.1080/23311835.2016.1193104 | ||
| Özet |
| The family of the tangent hyperbolic function methods is one of the most powerful method to find the solutions of the nonlinear partial differential equations. In the mathematical literature, there are a great deal of tanh-methods completing each other. In this article, the unified tanh-function method as a unification of the family of tangent hyperbolic function methods is introduced and implemented to find traveling wave solutions for three important physical models, namely the Khoklov–Zabolotskaya–Kuznetsov (KZK) equation, the Newell–Whitehead–Segel (NWS) equation, and the Rabinovich wave equation with nonlinear damping. Various exact traveling wave solutions of these physical structures are formally derived. |
| Anahtar Kelimeler |
| the unified tanh-function method | the Khokhlov-Zabolotskaya-Kuznetsov (KZK) | the Newell-Whitehead-Segel (NWS) equation | the Rabinovich wave equation with nonlinear damping | traveling wave solution |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 3 |
| Google Scholar | 9 |