Abstract
The modulation instability caused by the coupling of a Langmuir wave to the ion motion is investigated in the domain of large $\frac{{v}_{\mathrm{L}}}{{v}_{\mathrm{te}}}>1$ ratios, where ${v}_{\mathrm{L}}$ and ${v}_{\mathrm{te}}$ denote the pump Langmuir-wave quiver velocity and the electron thermal velocity, respectively. A convenient approximate expression for the growth rate is given for $\frac{{v}_{\mathrm{L}}}{{v}_{\mathrm{te}}}<50{(\frac{A}{Z})}^{\frac{1}{6}}$. The limitation of the beat plasmon growth due to the modulational instability is studied in the context of plasma beat-wave experiments and the maximum beat plasmon amplitude is determined numerically.
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