运用多重尺度方法及准分立近似,求解二维单原子晶格的非线性振动方程,在只考虑最近邻相互作用下,二维单原子晶格的非线性振动特性由二维CNLS(CubicNonlinearSchrodinger)方程描述.具有二维分立孤子拖曳解和颈模型摄动解. The nonlinear vibration equations of a two-dimensional single-atom lattice are solved by using multiple scales and quasi-discrete approximations. The nonlinear vibration of a two-dimensional single-atom lattice under the consideration of the nearest neighbor interaction consists of a two-dimensional CNLS (Cubic Nonlinear Schrodinger equation Description Two-dimensional discrete soliton-drag solution and neck model perturbation solution.