I realized that the last equation I wrote can be written as
E(\alpha,t) = f(\alpha) (2*\cos{\sqrt{\omega_e^2 + 3 v_e^2 \alpha^2} t})
Is that helpful? Does anyone know how to take the inverse Fourier transform?
Thanks,
Brian
Homework Statement
In this problem I'm trying to derive an explicit solution for Langmuir waves in a plasma. In part (a) of the problem I derived the wave equation
(\partial_t_t+\omega_e^2-3v_e^2\partial_x_x) E(x,t) = 0
This matches the solution in the book so I believe it's correct...
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