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A unified analytical framework for chaos, sensitivity, and modulation instability with exact solutions of a newer form of Boussinesq equation    
Yazarlar (5)
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Nauman Raza
University Of The Punjab, Pakistan
Ikram Davletov
Urgench State University, Özbekistan
Inomjon Ibragimov
Kimyo International University İn Tashkent, Özbekistan
Sokhibjan Muminov
Mamun University, Özbekistan
Devamını Göster
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