利用变分法研究了强非局域非线性损耗介质中1+2维厄米高斯光束的传输特性，得到了损耗光束参量在介质中传输所遵循的规律及其形成损耗光孤子所需要的临界功率。当初始功率接近临界功率时，光束的束宽按准正弦或准余弦规律作准周期展宽变化。通过比较，利用变分法所得到的解析解与数值解在光束传输一段较长的距离内都符合的很好。

The propagation properties of the 1+2D Hermite Gauss beam in nonlocal nonlinear media in the presence of the losses are discussed by using variational approach. Several equations for the evolution law during propagation of the parameters are gained, and the critical power which forms the lossy soliton required are obtained. The beam width expands periodically and obeys the quasi sine or quasi cosine law when the initial power close to the critical power. By comparison, the analytical solutions obtained by the variational solution are agree well with the numerical solutions in the beam transmission over a long distance.