explicit solutions of cauchy problems for degenerate hyperbolic equations with transmutations methods

‎this article’s primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time‎. ‎to reduce a new problem to a problem that has already been solved‎, ‎or at the very least to a smaller problem‎, ‎is a standard mathematics strategy known as the transmutations method‎. ‎similar to utilizing heat equations to solve wave equations‎. ‎using transmutation methods‎, ‎we solve this problem using the well-known kolmogorov equation‎. we present the solution of wave equations using transmutation methods and show that it is equivalent to the solution obtained by applying the fourier transform in order to support our methodology‎.