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
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, cilt.9, sa.5, ss.437-453, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 5
- Basım Tarihi: 2024
- Doi Numarası: 10.1016/j.joes.2022.03.012
- Dergi Adı: JOURNAL OF OCEAN ENGINEERING AND SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.437-453
- Anahtar Kelimeler: Auxiliary equation method, Beta derivative, Fractional differential equations, Nonlinear equations, Solitary solutions, Symbolic computation
- Bursa Uludağ Üniversitesi Adresli: Evet
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.