Akademik Veri Yönetim Sistemi
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, cilt.2026, ss.1-39, 2026 (SCI-Expanded, Scopus)
KABUL EDİLDİ
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 e ectively comprehended
through the use of graphical representations. In this study, the generalized di erential 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 ndings and techniques.