Closed form solutions of Beta fractional Wazwaz-modified Benjamin-Bona-Mahony equations using exponential rational function method
DOI:
https://doi.org/10.64497/jssci.116Keywords:
Wazwaz modified Benjamin–Bona–Mahony, exponential rational function method, Beta fractional derivative, nonlinear partial differential equation, Soliton dynamics, dispersive wave models, travelling wave solutionsAbstract
This paper investigates the fractional (3+1) Wazwaz–modified Benjamin–Bona–Mahony (WMBBM) model, which plays a crucial role in modeling nonlinear dispersive wave phenomena. Fractional models have gained significant attention in recent years due to their ability to accurately capture memory and hereditary characteristics of complex physical systems. In this study, the Exponential rational function method is employed to derive new exact solutions of the fractional WMBBM model. To better illustrate the physical nature and dynamic features of the solutions, graphical representations are provided through 2D profiles, 3D surfaces and contour plots. These visualizations highlight the structural variations of the solitary waves under different parameter conditions. All symbolic computations and graphical simulations were carried out in Mathematica, ensuring both precision and efficiency throughout the analysis. The results obtained not only extend the catalog of known solutions for the WMBBM model but also demonstrate the flexibility of the exponential rational function method in tackling fractional nonlinear systems. This study enhances the theoretical understanding of nonlinear wave propagation and provides useful insights for applications in mathematical physics and engineering.
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Copyright (c) 2025 Ibrahim Hussaini Iliyasu, Surajo Sulaiman, Shehu Maitama, Umar Muhammad Dauda
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