Comparative Analysis of The Generalized Unified Method with Some Exact Solution Methods and General Solutions of The Biswas-Milovic Equation
Yazarlar (1)
Doç. Dr. Tuğba AYDEMİR
Yalova Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Theoretical and Mathematical Physics Russian Federation (Q3) | ||
| Dergi ISSN | 0040-5779 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2025 |
| Cilt / Sayı / Sayfa | 222 / 1 / 119–130 | DOI | 10.1134/S004057792501009X |
| Makale Linki | http://dx.doi.org/10.1134/S004057792501009X | ||
| Özet |
| Abstract: The aim of this study is twofold. First, we compare the generalized unified method (GUM), which is a new expansion method to solve nonlinear partial differential equations (NPDEs), with some methods frequently used for finding exact solutions of NPDEs. We conclude that the GUM gives more general solutions efficiently, in compact form, and with free parameters. Moreover, the algorithm of the GUM is straightforward and easy to implement on a computer. Second, as a practical example and a demonstration of effectiveness, we apply the GUM to the Biswas–Milovic equation (BME). The BME is derived from a generalized nonlinear Schrödinger equation. The BME appears in many applied fields such as the propagation of waves in nonlinear optics. We consider Kerr, power, parabolic, and dual-power-law nonlinearities of the BME. Using the GUM, we obtain the exact solution of the BME in an elegant way. |
| Anahtar Kelimeler |
| and dual-power-law nonlinearities | Biswas–Milovic equation with Kerr | exact solution method | generalized unified method | parabolic | power | unified method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 3 |
| SCOPUS | 3 |
| Google Scholar | 3 |