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A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves      
Yazarlar (5)
Xiaofeng Wang
Shenzhen University, Çin
Xiao-Guang Yue
Shenzhen University, Çin
Mohammed K. A. Kaabar
Universiti Malaya, Malezya
Arzu Akbulut
Eskişehir Osmangazi Üniversitesi, Türkiye
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Devamını Göster
Özet
A novel technique, named auxiliary equation method, is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems: the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional derivative. Our solutions were obtained using MAPLE software. This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering. Since a standard equation has not been used as an auxiliary equation for this technique, different and novel solutions are obtained via this technique.
Anahtar Kelimeler
Auxiliary equation method | Beta derivative | Fractional differential equations | Nonlinear equations | Solitary solutions | Symbolic computation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Journal of Ocean Engineering and Science
Dergi ISSN 2468-0133 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 10-2024
Cilt No 9
Sayı 5
Sayfalar 437 / 453
Doi Numarası 10.1016/j.joes.2022.03.012
Makale Linki http://dx.doi.org/10.1016/j.joes.2022.03.012