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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
Xiaofeng Wang
Xiao-Guang Yue
Mohammed K. A. Kaabar
Arzu Akbulut
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
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 yayımlanan tam makale
Dergi Adı Journal of Ocean Engineering and Science
Dergi ISSN 2468-0133
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2022
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