Evaluation of the solution of the Gaussian impulse diffraction inside a sector with the angle $2\pi/n$ using its integral representation

We consider an initial-boundary-valued problem for the acoustic system in the sector $G = \{(r, \phi) : 0 < \phi < 2\pi/n\}$ with slip conditions on the domain boundaries. The initial values are zero for the velocity and the Gaussian profile for the pressure pulsation. The center of the pulse is far enough from $\partial G$ so that its value on $\partial G$ is negligible. The solution of the problem has an integral representation. We present an efficient method for numerical evaluation of the solution.