Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method

<table>Explicit numerical solutions with<svg height="10.95" id="M143" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 52.262501 10.95" width="52.262501" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
<tspan style="font-size: 12.50px; " x="10.677562" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.717951" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="31.282507" y="0">1</tspan>
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</svg>, <svg height="13.55" id="M144" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 64.25 13.55" width="64.25" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝛼</tspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="33.007919" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="45.048309" y="0">1</tspan>
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International Journal of Differential Equations

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Figure 2

Figure 2: Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method 