| Yazarlar |
Dipankar Kumar
|
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye |
|
Md Rabiul Haque
|
|
M S Osman
|
|
Dumitru Baleanu
|
| Özet |
| For different nonlinear time-conformable derivative models, a versatile built-in gadget, namely the generalized exp(−φ(ξ))-expansion (GEE) method, is devoted to retrieving different categories of new explicit solutions. These models include the time-fractional approximate long-wave equations, the time-fractional variant-Boussinesq equations, and the time-fractional Wu-Zhang system of equations. The GEE technique is investigated with the help of fractional complex transform and conformable derivative. As a result, we found four types of exact solutions involving hyperbolic function, periodic function, rational functional, and exponential function solutions. The physical significance of the explored solutions depends on the choice of arbitrary parameter values. Finally, we conclude that the GEE method is more effective in establishing the explicit new exact solutions than the exp(−φ(ξ))-expansion method. |
| Anahtar Kelimeler |
| exact solutions | the GEE method | time-fractional approximate long-wave equations | time-fractional variant-Boussinesq equations | time-fractional Wu-Zhang system of equations |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | FRONTIERS IN PHYSICS |
| Dergi ISSN | 2296-424X |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2020 |
| Cilt No | 8 |
| Sayı | 177 |
| Doi Numarası | 10.3389/fphy.2020.00177 |
| Makale Linki | http://dx.doi.org/10.3389/fphy.2020.00177 |
