The Most Unstable Conditions of Modulation Instability

<table>The maximum wave crest histories of Stokes modulated wave train for <svg height="14.9375" id="M60" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 60.525002 14.9375" width="60.525002" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜀</tspan>
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<text transform="matrix(1,0,0,-1,-65.9,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
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<text transform="matrix(1,0,0,-1,-57.55,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="27.656635" y="0">5</tspan>
</text>
</g>
</g>
</svg>, <svg height="14.6" id="M61" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 51.512501 14.6" width="51.512501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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<text transform="matrix(1,0,0,-1,-58.5,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">1</tspan>
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</svg> with different initial phases.</table>

Journal of Applied Mathematics

The Most Unstable Conditions of Modulation Instability

Figure 4