The Most Unstable Conditions of Modulation Instability

<table>The maximum wave crest histories (a) and scatter diagram (b) of Stokes-modulated wave train for <svg height="11.075" id="M42" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 13.7875 11.075" width="13.7875" xmlns="http://www.w3.org/2000/svg">
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<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
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<text transform="matrix(1,0,0,-1,-65.9,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
</text>
</g>
</g>
</svg>= 0.05, <svg height="10.925" id="M43" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 12.6 10.925" width="12.6" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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</g>
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</svg>= 0.1 with different <svg height="14.625" id="M44" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 14.6875 14.625" width="14.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.625)">
<g transform="translate(72,-60.3)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
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<text transform="matrix(1,0,0,-1,-65.17,60.47)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
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</svg>= 10, 20 and 40.</table>

Journal of Applied Mathematics

The Most Unstable Conditions of Modulation Instability

Figure 2