A NEW TECHNIQUE IN CONSTRUCTING CLOSED-FORM SOLUTIONS FOR NONLINEAR PDES APPEARING IN FLUID-MECHANICS AND GAS-DYNAMICS

We develop a new unique technique in constructing closed-form solution s for several nonlinear partial differential systems appearing in flui d mechanics and gas dynamics. The obtained solutions include fewer arb itrary functions than needed for general solutions, fact that permits us to specify them according to the initial state, or the geometry, of each specific problem under consideration. In order to apply the befo re mentioned technique we construct closed-form solutions concerning t he gas-dynamic equations with constant pressure, the dynamic equations of an ideal gas in isentropic flow, and the two-dimensional incompres sible boundary layer flow.