The current study is dedicated to find the complex soliton solutions of the hyperbolic (2+1)-dimensional nonlinear Schrödinger equation. In this direction we takes the help of Lie Symmetry analysis method. First of all we obtained the invariant condition which play important role in the mechanism of Lie symmetry method. After that we obtained the symmetries of the hyperbolic Schrödinger equation. These symmetries are further used to develop the appropriate vector fields. Consequently, with the application of these vector field optimal system of subalgebras are obtained. Further, under the each subalgebras similarity solutions are obtained in form of trigonometric functions. Most important the similarity variables which are obtained with the help of Lie symmetry method are in form of hyperbolic function. This clearly indicate that the phenomenon modeled by the hyperbolic Schrödinger equation invariant under these similarity solutions and similarity variable. At the end of the study complex soliton are obtained for Schrödinger equation which are in form of trigonometric and hyperbolic functions.

目前的研究致力于寻找双曲（2+1）维非线性薛定谔方程的复孤子解。在这个方向上，我们借助李对称分析方法。首先我们得到了在李对称法机理中起重要作用的不变量条件。之后我们得到了双曲薛定谔方程的对称性。这些对称性进一步用于开发适当的矢量场。因此，随着这些向量场的应用，得到了子代数的最优系统。此外，在每个子代数下，以三角函数的形式获得相似性解。借助李对称方法获得的最重要的相似变量是双曲函数的形式。这清楚地表明，由双曲薛定谔方程建模的现象在这些相似解和相似变量下是不变的。在研究结束时，得到了薛定谔方程的复孤子，它是三角函数和双曲函数的形式。