中文摘要：

研究等熵 Chaplygin气体的平面波解，给出平面波解的若干有趣性质，并特别指出平面波解所满足的微分方程组可以逐步求解，从而得到等熵Chaplygin气体光滑平面波解的整体存在性. 此外，给出平面波解的若干爆破结果.

英文摘要：

In this paper, we consider the plane wave solutions to the Euler equations for isentropic Chaplygin gases. Some interesting properties enjoyed by plane wave solutions are explored. In particular, the reduced system for the plane wave solutions of Chaplygin gases can be solved successively. Based on this, we are able to obtain the global existence of smooth plane wave solutions for isentropic Chaplygin gases. Some results on the blow up phenomena are also discussed.