Akademik Veri Yönetim Sistemi
Journal of Engineering Research (Kuwait), 2026 (SCI-Expanded, Scopus)
The M-fractional Shynaray-IIA equation, a nonlinear (1+1)-dimensional model, novel exact soliton solutions are investigated using the modified (G′/G2)-expansion method and new mapping method approach. This model is widely applicable in fields such as tidal waves, nonlinear acoustics and fluid mechanics. Utilizing a powerful analytical approach to optimizing the features of optical fiber network by introducing a versatile algorithmic approach for model evaluation. The model converted into ordinary differential equations by employing traveling wave transformation , simplifying the analysis process. Derive the novel solitary wave solutions from fractional Shynaray-IIA model the modified (G′/G2)-expansion method and new mapping method is utilized. The research produces a diverse array of solitary wave solutions, including bright, periodic,kink, dark, singular, dark-bright solitons solutions. To facilitate a comprehensive understanding of the system’s nonlinear dynamics, some solitary wave solutions are visually portrayed using 2D and 3D plots, density maps, contour plots, and phase portraits that illustrate bifurcation characteristics, thoroughly exploring the system’s dynamics at equilibrium points with the help of computer algebraic software. Validation of these solutions is achieved using the Hamiltonian property, ensuring their accuracy and stability. By the application of the modified (G′/G2)-expansion method and new mapping method, the wide range of solutions obtained highlight the depth and importance of this research in the realm of nonlinear wave equations. Our study establishes a connection between computer science and soliton physics, emphasizing the pivotal role of soliton phenomena in advancing simulations and computational modeling, providing a deeper understanding of the complex dynamics represented by these mathematical models.