中文摘要：

<正> In this paper,we use the classical Lie group symmetry method to get the Lie point symmetries of the(2+1)-dimensional hyperbolic nonlinear Schr(o|¨)dinger (HNLS) equation and reduce the (2+1)-dimensional HNLS equationto some (1+1)-dimensional partial differential systems.Finally,many exact travelling solutions of the (2+1)-dimensionalHNLS equation are obtained by the classical Lie symmetry reduced method.

英文摘要：

In this paper, we use the classical Lie group symmetry method to get the Lie point symmetries of the （2＋1）-dimensional hyperbolic nonlinear Schr6dinger （HNLS） equation and reduce the （2＋1）-dimensional HNLS equation to some （1 ＋ 1 ）-dimensional partial differential systems. Finally, many exact travelling solutions of the （2＋1）-dimensional HNLS equation are obtained by the classical Lie symmetry reduced method.