Wang, Xiaofeng and Yue, Xiao-Guang and Kaabar, Mohammed K. A. and Akbulut, Arzu and Kaplan, Melike (2024) A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves. Journal of Ocean Engineering and Science, 9 (5). pp. 437-453. ISSN 2468-0133, DOI https://doi.org/10.1016/j.joes.2022.03.012.
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Symbolic computation; Fractional differential equations; Beta derivative; Auxiliary equation method; Solitary solutions; Nonlinear equations |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 24 Oct 2025 12:26 |
| Last Modified: | 24 Oct 2025 12:26 |
| URI: | http://eprints.um.edu.my/id/eprint/46462 |
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