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 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
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Physics Letters Section A General Atomic and Solid State Physics (Q2)
Dergi ISSN 0375-9601 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2025
Cilt / Sayı / Sayfa 564 / 1 / 131079– DOI 10.1016/j.physleta.2025.131079
Makale Linki https://doi.org/10.1016/j.physleta.2025.131079
UAK Araştırma Alanları
Uygulamalı Matematik
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 …
Anahtar Kelimeler
Chaotic analysis | Modulation instability | Sensitivity analysis | Symbolic computation