Abstract

An invariant submodel, constructed using a subalgebra of the sum of the rotation, time transfer and Galilean transfer is considered within the framework of the Podmodeli program [1]. A group classification is constructed and simple solutions are obtained. The submodel is reduced to symmetrical form. Assertions are made on the hyperbolicity, characteristics and force discontinuities. The necessary conditions far solutions to exist without discontinuities on the axis of symmetry are derived and their asymptotic submodel is investigated.

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