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Some New Soliton Solutions of Time Fractional Resonant Davey–Stewartson Equations    
Yazarlar (4)
Doç. Dr. Esin İLHAN Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Muhammed Yiğider
Erzurum Technical University, Türkiye
Ercan Çelik
Kyrgyz Turkish Manas University, Türkiye
Hasan Bulut
Firat University, Türkiye
Devamını Göster
Özet
In this study, the Bernoulli subequation method (BS-EM) is applied to investigate the traveling wave solutions of the (2 + 1)-dimensional resonant Davey-Stewartson system. By employing a wave transformation, the system's nonlinear partial differential equation is reduced to a nonlinear ordinary differential equation, which is then solved using the BS-EM approach. As a result, several new traveling wave solutions, which have not been previously reported in the literature, have been successfully obtained. These solutions provide new insights into the physical dynamics of the system and also satisfy the (2 + 1)-dimensional time-fractional resonant Davey-Stewartson equation. Furthermore, the analytical and graphical analyses of the obtained solutions have been carried out, and the wave profiles have been examined under various parameter conditions. All computations and graphical visualizations in this study were performed using the Wolfram Mathematica 12 software.
Anahtar Kelimeler
resonant Davey-Stewartson equation | the Bernoulli subequation method (BS-EM) | the fractional Riemann-Liouville derivative
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü ESCI dergilerinde yayınlanan tam makale
Dergi Adı Computational and Mathematical Methods
Dergi ISSN 2577-7408 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 01-2025
Cilt No 2025
Sayı 1
DOI Numarası 10.1155/cmm4/5529397
Makale Linki https://doi.org/10.1155/cmm4/5529397