（3+1）维等熵理想可压缩流体流动的椭圆解
Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
摘要：
本文用一种改进的条件对称方法，结合经典方法，求出了（3+1）维等熵理想可压缩流体流动的新的椭圆型解。我们专注于这些类型的解决方案，表示在魏尔斯特拉斯P-函数的黎曼不变量。这些解决方案是特别感兴趣的，因为我们表明，他们仍然有界，即使这些不变量承认梯度灾难。我们详细描述了一个程序，用于构建这样的类的解决方案。最后，我们提出了几个例子，我们的方法，其中包括颠簸，扭结和多波解决方案的应用。
英文摘要：
A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible fluid flow in (3+1) dimensions. We focus on those types of solutions which are expressed in terms of the Weierstrass P-functions of Riemann invariants. These solutions are of special interest since we show that they remain bounded even when these invariants admit the gradient catastrophe. We describe in detail a procedure for constructing such classes of solutions. Finally, we present several examples of an application of our approach which includes bumps, kinks and multi-wave solutions.
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