Akademik Veri Yönetim Sistemi
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, cilt.25, sa.3, 2026 (SCI-Expanded, Scopus)
In this article, the (4+1)-dimensional space-time fractional Fokas model is used in the soliton hypothesis and executed via the Hirota bilinear scheme. The fractional Beta-derivative is used to mentioned model. The higher dimensional Fokas equation is the integrable expansion of the Davey-Stewartson and Kadomtsev-Petviashvili equations. In wave theory, the Fokas model plays a crucial role in explaining the physical phenomena of waves both inside and outside of water. Using the Hirota bilinear method by Maple symbolic package the analytical outcomes containing the interaction between a lump-two kink soliton, interaction between two lump, the interaction between two lump-soliton, lump-periodic, and lump-three kink solutions to the space-time fractional Fokas model are obtained. The complex dynamics and behaviors of the solutions to underlying problem are most effectively comprehended through the use of graphical representations. In this study, the generalized differential rational function method to extract the traveling wave and soliton solutions for the suggested model is applied. A wide array of novel analytical solutions is produced when the obtained system of algebraic equations is analytically addressed using Maple tool. The proposed method not only generates innovative solutions but also provides a robust framework for evaluating complex wave phenomena in nonlinear media. The other higher-dimensional fractional-order problems that arise in wave theory, including those related to optics, quantum mechanics, hydrodynamics, plasmas, and solid-state physics, can be investigated with the aid of these findings and techniques.