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Exploring Multiple and Singular Solutions for Three equations of Fractional Space-Time KdV Models |
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PP: 413-422 |
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doi:10.18576/pfda/110213
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Author(s) |
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Mawahib Elamin,
Neama Yahia M. Haron,
Doaa Rizk,
Zahra I. Mahamoud,
Noura M. Alhouiti,
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Abstract |
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| This study investigates the fractional Hirota bilinear technique in the context of nonlinear fractional differential models. We focus on the core properties of bilinear fractional differential operators and perform calculations for a variety of fractional differential equations (FDEs), particularly the fractional time-space KdV, KP, and (3+1) KdV models. Utilizing an efficient implementation of Hirota’s technique, we leverage symbolic computation to develop solutions. For each equation, we identify both multiple singular soliton and soliton solutions. Importantly, as the fractional order approaches one, our findings converge to the familiar soliton solutions of the KdV, KP, and (3+1) KdV equations. Our results not only build upon existing literature but also contribute to a broader understanding of nonlinear wave dynamics across multiple scientific domains. |
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