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Analyzing Solitary Wave Solutions in M-Truncated Fractional-Order Space-Time Burgers-Like Equations |
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PP: 457-465 |
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doi:10.18576/pfda/110303
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Author(s) |
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Bent Elmina Haroun Khaled,
Ammar Elobeid Ahmed,
Ehssan Abdalrhim,
Mona Ahmed Mohammed,
Hawa Osman Ibnouf,
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Abstract |
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| The Burgers equation, a cornerstone of hydrodynamic modeling, can be formulated in both integer and fractional orders to describe the dynamics of a viscous particle velocity field influenced solely by collisions. In this paper, we introduce a novel class of Burgers-like equations featuring M-truncated fractional space-time order. We employ the direct method to derive exact solutions and provide a graphical analysis to illustrate their applicability. Notably, certain equations within this framework exhibit identical solutions when considering M-truncated fractional orders in both space and time. The derived solutions are contingent on the fractional order parameters α and β , revealing that they align with those of their integer-order counterparts. Our findings highlight how the introduction of fractional orders enriches the dynamics of the system.
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