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Extraction of Exact Solutions of Higher Order Sasa-Satsuma Equation in the Sense of Beta Derivative       
Yazarlar
Emad Fadhal
Arzu Akbulut
Bursa Uludağ Üniversitesi, Türkiye
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Muath Awadalla
Türkiye
Kinda Abuasbeh
Türkiye
Özet
Nearly every area of mathematics, natural, social, and engineering now includes research into finding exact answers to nonlinear fractional differential equations (NFDES). In order to discover the exact solutions to the higher order Sasa-Satsuma equation in the sense of the beta derivative, the paper will discuss the modified simple equation (MSE) and exponential rational function (ERF) approaches. In general, symmetry and travelling wave solutions of the Sasa-Satsuma equation have a common correlation with each other, thus we reduce equations from wave transformations to ordinary differential equations with the help of Lie symmetries. Actually, we can say that wave moves are symmetrical. The considered procedures are effective, accurate, simple, and straightforward to compute. In order to highlight the physical characteristics of the solutions, we also provide 2D and 3D plots of the results.
Anahtar Kelimeler
beta derivative | exact solutions | sasa satsuma equation | wave transformations
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 11-2022
Cilt No 14
Sayı 11
Doi Numarası 10.3390/sym14112390
Makale Linki http://dx.doi.org/10.3390/sym14112390