Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods

<div>2D graph of solutions (<a href="https://static.hindawi.com/articles/jmath/volume-2024/8852337/figures/#EEq22">22</a>) and (<a href="https://static.hindawi.com/articles/jmath/volume-2024/8852337/figures/#EEq22">23</a>) (at <span class="nowrap"><svg height="8.55521pt" id="M69" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 34.9745 8.55521" width="34.9745pt" 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="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.065,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,19.328,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 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Journal of Mathematics

fig4

Figure 4

Figure 4: Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods 