(1+1+1)维时空光孤子控制

本文通过数值地求解孤子控制系统下的(1+1+1)维非线性薛定谔方程,讨论在一定的孤子控制系统中传输的时空光孤子。结果表明,在一定的孤子控制系统中,(1+1+1)维时空光孤子可较稳定地传输。最后,讨论时空光孤子传输过程的稳定性。结果表明,在白噪声扰动下,时空光孤子传输过程是稳定的。

Variable Separation Solutions in （1＋1）-Dimensional and （3＋1）-Dimensional Systems via Entangled Mapping Approach

In this paper, the entangled mapping approach （EMA） is applied to obtain variable separation solutions of （1＋1）-dimensional and （3＋1）-dimensional systems. By analysis, we firstly find that there also exists a common formula to describe suitable physical fields or potentials for these （1＋1）-dimensional models such as coupled integrable dispersionless （CID） and shallow water wave equations. Moreover, we find that the variable separation solution of the （3＋1）-dimensional Burgers system satisfies the completely same form as the universal quantity U1 in （2＋1）-dimensional systems. The only difference is that the function q is a solution of a constraint equation and p is an arbitrary function of three independent variables.

在非均匀非线性下的时空光孤子

文章首先通过数值地求解非均匀非线性下的(1+1+1)维非线性薛定谔方程,讨论在一定的非均匀非线性光学介质中传输的时空光孤子。结果表明:在一定的非均匀非线性系统中,存在着随传输距离变化的规则的时空光孤子分裂过程。然后讨论了时空光孤子分裂过程的稳定性。结果表明:在白噪声扰动下,规则的时空光孤子分裂过程是稳定的。