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SOME NEW SOLITON SOLUTIONS OF TIME FRACTIONAL RESONANT DAVEY-STEWARTSON EQUATIONS     
Yazarlar (1)
Doç. Dr. Esin İLHAN Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, 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
Bildiri Türü Tebliğ/Bildiri
Bildiri Alt Türü Özet Metin Olarak Yayımlanan Tebliğ (Uluslararası Kongre/Sempozyum)
Bildiri Niteliği Web of Science Kapsamındaki Kongre/Sempozyum
Bildiri Dili İngilizce
Kongre Adı 6th International Conference on Computational Mathematics and Engineering Sciences
Kongre Tarihi 20-05-2022 /
Basıldığı Ülke Türkiye
Basıldığı Şehir Ordu
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SOME NEW SOLITON SOLUTIONS OF TIME FRACTIONAL RESONANT DAVEY-STEWARTSON EQUATIONS

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