变系数耦合非线性薛定谔方程的矢量孤子解:暗-亮孤子解

The vector soliton solution of coupled nonlinear Schrdinger equations with variable coefficients:dark-bright soliton solution

利用相似约化的方法获得了变系数耦合非线性薛定谔方程的矢量孤子解:暗-亮孤子解;详细讨论了在周期分布放大系统中矢量孤子的传播特性;最后通过数值模拟证明了在有限的约束条件扰动或者初始扰动下矢量孤子都能稳定传播.

By means of the similarity transformation, the vector soliton solution （ dark-bright soliton solution） of the coupled nonlinear Schrisdinger equations with variable coefficients was obtained. The propagation dy- namics of vector soliton in the periodic distributed amplification system were investigated. It was also showed that the propagation of vector soliton was stable under the finite perturbation of the constraint condition or the finite perturbation of the initial data by numerical simulations.