In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.

中文翻译：

---

通过双波ansatz求解一维非均匀气体动力学方程

在本文中，已经确定了一维Euler系统的双波解的类，这些类描述了非均匀情况下的理想流体。为了使分析程序得以保留，对适用于治理模型的源项的合适模型定律进行了表征。最后，这类精确的双波解决方案已用于解决非线性波传播中一些令人关注的问题。