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The retirement of the Concorde in 2003 has resulted in the need for a second-generation commercial supersonic aircraft in the aviation industry. Although desirable because of the positive aspect of speed, one of the most crucial factors in the commercial viability of a supersonic transport is the strength of the sonic boom it generates. The sonic boom is a thunder-like noise heard when a supersonic aircraft flies overhead. The strength of the sonic boom is highest at the caustics that are regions formed by focusing of sound. In the vicinity of the caustics, the acoustic pressure is governed by the Nonlinear Tricomi Equation (NTE), which is a mixed (elliptic-hyperbolic) second order partial differential equation. Although numerical solutions to the NTE are well established in the literature, no analytical solution is available. In this paper, an analytical solution of the NTE is obtained using the asymptotic method and compared with the numerical solution. The solution obtained could enrich our understanding of the caustics formed by focusing of sonic booms.
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