Methods for computing wave kinematics are wide-spread for studying the wave propagation in non-homogeneous media. Exact analytical solutions for nontrivial media are needed for testing such methods. The formula describing the wave-front shape has been found for some media with a power dependence of conductivity on only one spatial coordinate. Also, the formulas for wave-ray traces over the linear and parabolic bottom profile were obtained. The results of this research are used for numerical methods testing.