Using homogeneous balance principle (HBP) and with the aid of Mathematica, the new exact solutions to Benny equation are obtained, which modifies and perfects the known results.

• 利用齐次平衡法,借助计算机代数系统Mathematica,得到了Benney方程新的显式精确解,修正和完善了已有文献给出的结果。