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Geometric Analysis and Enhanced Approach for Addressing the Generalized M-Truncated Space-Time Fractional Burgers Model |
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PP: 531-540 |
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doi:10.18576/amis/190305
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Author(s) |
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Hanadi M. AbdelSalam,
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Abstract |
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| We use the fractional Hirota bilinear method to derive
analytical solutions for the hyperbolic generalized M-truncated
space-time Burgers model. By constructing double soliton waves for this fractional differential model, we demonstrate the efficacy of symbolic computation tools like Maple. This approach highlights the Hirota bilinear method as a promising and straightforward technique for tackling nonlinear differential equations of both integer and fractional orders. Our results confirm that this method is not only easy to apply but also effective and versatile for various engineering and physics problems. We explore fundamental concepts related to surfaces using M-truncated fractional analysis. This involves computing differential geometrical properties such as the M-truncated fractional Gaussian curvature and the M-truncated fractional mean curvature , which offer new physical insights into the problem. The ability to select arbitrary fractional orders allows us to create more complex structures. Variations in soliton behavior due to changes in fractional order extend its applicability in applied sciences. The dynamic behavior of the solutions is depicted through 2D and 3D graphical representations, highlighting variations across different fractional orders.
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