Soliton structures, bifurcation analysis, and exact wave solutions of the (2+1)-dimensional Chaffee-Infante equation in homogeneous media: applications to gas diffusion dynamics
PHYSICA SCRIPTA, cilt.101, sa.37, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 101 Sayı: 37
- Basım Tarihi: 2026
- Doi Numarası: 10.1088/1402-4896/aea192
- Dergi Adı: PHYSICA SCRIPTA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this study, we investigate the (2+1)-dimensional Chaffee-Infante equation, a fundamental model describing gas diffusion dynamics in homogeneous media. To enhance the model's accuracy in capturing real-world diffusion processes, we incorporate a conformable fractional derivative operator, reflecting recent advancements in fractional calculus. The bifurcation structures of the traveling wave solutions are analyzed using a planar dynamical system approach, revealing intricate phase portraits under various parameter settings. To obtain exact solutions, we apply the generalized improved G '/G method, demonstrating its effectiveness in handling nonlinear wave models. Additionally, numerical simulations, including 3D surface plots and 2D contour graphs, provide a visual representation of the wave dynamics, offering deeper insights into the system's complex behavior. These findings contribute not only to the theoretical understanding of fractional differential equations but also to their applications in various branches of physics, particularly in modeling anomalous diffusion and nonlinear wave propagation.