Abstract
Exact solutions of the Kármán–Guderley equation that describes spatial gas flows in the transonic approximation are considered. A group stratification of the equation with respect to the infinite-dimensional part of the admissible group is constructed. New invariant and partly invariant solutions are obtained. The possibility of existence of solutions continuous in the entire space is analyzed for invariant submodels with one independent variable. A solution of the Kármán–Guderley equation of the double-wave type is constructed.
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Golovin, S.V. Group Stratification and Exact Solutions of the Equation of Transonic Gas Motions. Journal of Applied Mechanics and Technical Physics 44, 344–354 (2003). https://doi.org/10.1023/A:1023429106284
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DOI: https://doi.org/10.1023/A:1023429106284