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Traveling Wave Solutions of DNA-Torsional Model of Fractional Order |
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PP: 85-89 |
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doi:10.18576/amisl/060205
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Author(s) |
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Hamdy I. Abdel-Gawad,
Mohamed Tantawy,
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Abstract |
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| Our attentions here is to show that (DNA-torsional model is reduced to the sine-Gordon SG and double sine-Gordon (DSG)
equations. The fractional order equations of the SG and (DSG), based on the Caputo derivative is considered. One of the main results
found here is to show that these equations of the fractional-order are reduced to partial differential equations (PDEs). Exact explicit
formulas of some solitary and periodic traveling wave solutions are obtained. The effects exhibited in the later case are illustrated. The
effects exhibited in the latter case are illustrated. While the fractional space derivative leads the formation of “ parabolic” wave in the
transition state. |
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