In this paper, a system of one-dimensional gas dynamics equations is considered. This system is a particular case of Jacobi type systems and has a natural representation in terms of 2-forms on 0-jet space. We use this observation to find a new class of multivalued solutions for an arbitrary thermodynamic state model and discuss singularities of their projections to the space of independent variables for the case of an ideal gas. Caustics and discontinuity lines are found.

中文翻译：

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一维欧拉流中的奇点

本文考虑了一维气体动力学方程组。该系统是Jacobi型系统的特例，在0喷射空间上具有自然的2形式表示。我们使用该观察结果为任意热力学状态模型找到一类新的多值解，并讨论在理想气体情况下它们对独立变量空间的投影的奇异性。找到了焦散线和间断线。