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On the Conservation Laws and Exact Solutions to the (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsov Equation       
Yazarlar
Arzu Akbulut
Hassan Almusawa
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Mohamed S Osman
Özet
In this paper, we consider conservation laws and exact solutions of the (3+1)-dimensional modified KdV–Zakharov–Kuznetsov equation. Firstly, we construct conservation laws of the given equation with the help of the conservation theorem; the developed conservation laws are modified conservation laws. Then, we obtain exact solutions of the given equation via the (G′ /G, 1/G)-expansion method. The obtained solutions are classified as trigonometric solutions, hyperbolic solutions and rational solutions. Furthermore, graphical representations of the obtained solutions are given.
Anahtar Kelimeler
Conservation laws | Exact solutions | Partial differential equations | Symbolic computation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı SYMMETRY-BASEL
Dergi ISSN 2073-8994
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 05-2021
Cilt No 13
Sayı 5
Sayfalar 765 / 0
Doi Numarası 10.3390/sym13050765
Makale Linki http://dx.doi.org/10.3390/sym13050765