New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Yazarlar (3)
Doç. Dr. Arzu Akbulut Eskişehir Osmangazi Üniversitesi, Türkiye
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Mohammed K. A. Kaabar
Universiti Malaya, Malezya
Universiti Malaya, Malezya
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Ocean Engineering and Science (Q1) | ||
| Dergi ISSN | 2468-0133 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2022 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-08-2022 |
| Cilt / Sayı / Sayfa | 7 / 4 / 377–382 | DOI | 10.1016/j.joes.2021.09.010 |
| Makale Linki | http://dx.doi.org/10.1016/j.joes.2021.09.010 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation theorem are trivial conservation laws. In addition, exact solutions are found via the modified simple equation (MSE) method. For a suitable value of solutions, the 3D surfaces have been plotted using MAPLE. These plots giving novel exact solutions are made to reveal important wave characteristics. Our obtained results in this work concerning our investigated equation are essential to explain many physical and oceanographic applications involving ocean gravity waves and many other related phenomena. |
| Anahtar Kelimeler |
| Conservation laws | Exact solutions | Modified simple equation method | Symbolic computation |
Science Direct
New conservation laws and exact solutions of the special case of the fifth-order KdV equation
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 33 |
| Scopus | 35 |
| Google Scholar | 34 |