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Homogeneous autonomous systems with three independent variables. (English. Russian original) Zbl 0923.76272
Summary: Double-wave solutions of equations with three independent variables are studied. The case when a homogeneous autonomous system consisting of four independent quasilinear first-order differential equations can be formed to study compatibility, is considered. All such systems having solutions with an arbitrary function that cannot be reduced to invariant ones are given, and their solutions are found.

76N15Gas dynamics, general
35Q35PDEs in connection with fluid mechanics
Full Text: DOI
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