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New conservation laws and exact solutions of the special case of the fifth-order KdV equation      
Yazarlar
Arzu Akbulut
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Mohammed K. A. Kaabar
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF OCEAN ENGINEERING AND SCIENCE
Dergi ISSN 2468-0133
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 08-2022
Cilt No 7
Sayı 4
Sayfalar 377 / 382
Doi Numarası 10.1016/j.joes.2021.09.010
Makale Linki http://dx.doi.org/10.1016/j.joes.2021.09.010