A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising …
Yazarlar (5)
Xiaofeng Wang
Xiao-Guang Yue
Mohammed KA Kaabar
Arzu Akbulut
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Ocean Engineering and Science | ||
| Makale Dili | – | Basım Tarihi | 10-2024 |
| Cilt / Sayı / Sayfa | 9 / 5 / 437–453 | DOI | – |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S2468013322000614 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| A novel technique, named auxiliary equation method, is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems: the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional derivative. Our solutions were obtained using MAPLE software. This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering. Since a standard equation has not been used as an auxiliary equation for this technique, different and novel solutions are obtained via this technique. |
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