Calculating Gaussian Wave packet Wave speed and Wave length

Hey All,

I am trying to simulate fluid flow in a channel where the inlet volumetric flux is prescribed as a gaussian functin with a specfic frequency (f) and wavelength (λ) but am confused on how to do this exactly. I am using the equation for a gaussian wrapped onto a unit circle (below), but I dont know how to calcualte λ or f from the equation. any help is greatly appreciated!

Q_Inlet = @(theta) amp*exp(-(theta-mu).^2/(2*sd^2)) + q0; % [cm^3/s] Gaussian In-Flux BC condition

where

mu => mean

sd => standard deviation

q0 => vertical offset

amp => max amplitude

theta => the period of the wave (-pi to pi)