Propagation of nonlinear shock waves for the generalised Oskolkov equation and its dynamic motions in the presence of an external periodic perturbation
Yazarlar (4)
Turgut Ak
Yalova Üniversitesi, Türkiye
Doç. Dr. Tuğba AYDEMİR
Yalova Üniversitesi, Türkiye
Asıt Saha
Sikkim Manipal Institute Of Technology, Hindistan
Abdul Hamıd Kara
University Of The Witwatersrand, Johannesburg, Güney Afrika Cumhuriyeti
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Pramana Journal of Physics (Q3) | ||
| Dergi ISSN | 0304-4289 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2018 |
| Cilt / Sayı / Sayfa | 90 / 6 / 77–93 | DOI | 10.1007/s12043-018-1564-7 |
| Makale Linki | http://dx.doi.org/10.1007/s12043-018-1564-7 | ||
| Özet |
| Propagation of nonlinear shock waves for the generalised Oskolkov equation and dynamic motions of the perturbed Oskolkov equation are investigated. Employing the unified method, a collection of exact shock wave solutions for the generalised Oskolkov equations is presented. Collocation finite element method is applied to the generalised Oskolkov equation for checking the accuracy of the proposed method by two test problems including the motion of shock wave and evolution of waves with Gaussian and undular bore initial conditions. Considering an external periodic perturbation, the dynamic motions of the perturbed generalised Oskolkov equation are studied depending on the system parameters with the help of phase portrait and time series plot. The perturbed generalised Oskolkov equation exhibits period-3, quasiperiodic and chaotic motions for some special values of the system parameters, whereas the generalised Oskolkov equation presents shock waves in the absence of external periodic perturbation. |
| Anahtar Kelimeler |
| chaos | collocation | Generalised Oskolkov equation | quasiperiodicity | shock wave | unified method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 18 |
| SCOPUS | 19 |
| Google Scholar | 39 |