Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV

<div>Plots of solution (<a href="https://static-preview.hindawi.com/articles/amp/volume-2022/6304896/figures/#EEq17">29</a>) for <span class="nowrap"><svg height="12.7086pt" id="M94" style="vertical-align:-3.4007pt" version="1.1" viewbox="-0.0498162 -9.3079 264.396 12.7086" width="264.396pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"><path d="M556 236V289H56V236H556Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.552,3.132)"><path d="M389 0V32C297 38 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Advances in Mathematical Physics

fig15

Figure 15

Figure 15: Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV 