拟研究微纳尺度耦合波导受到光机械力作用后产生形变而导致的波导有效折射率变化所支持的光孤子的动力学行为。首先，以支持高阶、高维光机械孤子为总体目标，设计适当材料、尺寸的耦合波导结构，分析其色散关系；其次，计算输入光场对波导产生的横向梯度力密度，分析波导受力后产生的机械形变、由形变导致的有效折射率分布以及重新分布后的折射率所支持的光场非线性本征模。在上述各量自洽迭代稳定时，得出非局域光机械孤子丰富的稳态解结构；第三，对所得孤子解做线性稳定性分析，仿真模拟其传播行为，得出高阶、高维孤子稳定存在的参数空间；第四，综合研究波导结构参数、入射光场功率、波导边界条件、非局域程度等对光机械孤子的存在范围及稳定条件的影响，遴选出若干支持稳定高阶光机械孤子的耦合波导参数结构；最后，把传统非局域光孤子的大量研究成果类比借鉴到光机械孤子中研究中来。预期成果将极大地促进微纳尺度的非线性局域态的研究进展。

In this project, we will study the dynamics of optomechanical solitons supported by a coupling micro/nano waveguide, whose effective refractive index is determined by the mechanical deformation induced by the force exerted by the input beam. Firstly, we design a coupling waveguide with suitable sizes to support higher-order, higher-dimensional optomechanical solitons; Secondly, we study the transverse gradient force, the deformation of waveguide induced by the optomechanical force, the distribution of effective index and the nonlinear modes in the waveguides. When the iterative calculation is self-consistency, we obtain the stationary solution of optomechanical solitons; Thirdly, we conduct the linear stability analysis on the soliton solutions and simulate their propagations to determine the existence conditions and stability domains; Fourthly, we explore how the parameters of waveguides, power of input beam, boundary conditions, and degree of nonlocal nonlinearity influence the existence conditions and stability domains of solitons, After the above works, we will screen out some waveguide settings in which stable higher-order solitons can exist. Finally, we generate the studies of classical nonlocal solitons into the studies of optomechanical solitons and find some unique properties. The expected results will remarkably promote the progress of nonlinear localized states on the micro/nano dimensions.