Novel soliton and wave solutions of a higher-dimensional fractional model in fluid mechanics
Journal of Inverse and Ill-Posed Problems, cilt.34, sa.3, ss.363-376, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.1515/jiip-2025-0103
- Dergi Adı: Journal of Inverse and Ill-Posed Problems
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.363-376
- Anahtar Kelimeler: time-fractional Boiti-Leon-Manna-Pempinelli equation, hyperbolic local derivative
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this study, the (4 + 1)-dimensional fractional Boiti-Leon-Manna-Pempinelli (BLMP) equation is considered to be an essential model for the incompressible fluid. The (Formula presented)-expansion method which is an effective analytical method is employed to investigate the exact wave solutions of the equation mentioned above. The proposed scheme has provided various new types of exact solutions and it has not been applied before to the (4 + 1)-dimensional BLMP equation with hyperbolic local derivative. These novel solutions can be observed as kink and singular solitons to describe wave propagation in fluid mechanics or continuum mechanics by selecting the suitable parameters and may find potential applications in modeling fluid motion phenomena such as tsunami propagation, ocean surface wave dynamics, and wave-current interactions in marine engineering. The exact wave structures have been revealed and compared employing the hyperbolic local derivative which is newly defined in the literature. The emerged solutions have also been corroborated via the computational software Mathematica and these results have been observed in 2D and 3D graphics.