晶格势中物质波孤子的传播性质和稳定性分析

The propagation dynamics and stability analysis of matter-wave solitons in optical lattices

利用相似约化方法研究光晶格势中空间调制的三五次非线性薛定谔方程,找到了一些新颖的物质波孤子解.进一步讨论了E=0和E≠0时物质波孤子的传播特性.最后,采用数值模拟的方法对孤子的稳定性进行了研究,发现了一些稳定的物质波孤子.

By means of similarity transformations,it was constructed the explicit matter-wave solitons of the cubic-quintic nonlinear Schrdinger equation trapped in optical lattices with nonlinearities depending on spatial coordinates. The propagation dynamics of soliton when E = 0 and E≠0 were investigated. The stability of the exact solutions was investigated numerically and some stable soliton solutions were obtained.