| Yazarlar (5) |
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye |
|
University Of The Punjab, Pakistan |
|
Urgench State University, Özbekistan |
|
Kimyo International University İn Tashkent, Özbekistan |
|
Mamun University, Özbekistan |
| Özet |
| This study explores the features and properties of a novel (3+1)-dimensional Boussinesq equation, which models the propagation of shallow water waves in higher-dimensional settings. The equation is significant for understanding nonlinear wave dynamics not only in hydrodynamics but also in fields such as plasma physics, nonlinear optics, and lattice wave theory. The Boussinesq-type equations, incorporating weakly dispersive and weakly nonlinear terms, provide a robust framework for simulating tsunami wave dynamics, particularly in modeling dispersion, wave shoaling, and inundation in coastal regions. A key contribution of this work lies in the application of the generalized exponential rational function method, which has not been previously utilized for this particular equation. Using this method, various exact analytical solutions-including solitary wave solutions-are constructed and graphically illustrated. Furthermore, the study conducts a detailed chaotic analysis, sensitivity analysis and modulation instability analysis to examine the stability characteristics of the obtained wave solutions. The results provide deeper insight into the nonlinear behavior and stability of wave propagation in the (3+1)-dimensional Boussinesq equation framework. |
| Anahtar Kelimeler |
| Chaotic analysis | Modulation instability | Sensitivity analysis | Symbolic computation |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Physics Letters Section A General Atomic and Solid State Physics |
| Dergi ISSN | 0375-9601 Wos Dergi Scopus Dergi |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2025 |
| Cilt No | 564 |
| Sayı | 1 |
| Doi Numarası | 10.1016/j.physleta.2025.131079 |