耦合Schr(o)dinger系统的周期振荡折叠孤子

摘要

引入对称延拓和非线性变换,将(G′/G)展开法扩展到研究(1+1)维非线性耦合Schr(o)dinger系统,构造出该系统的一些分离变量形式的精确解.通过对解中的任意函数进行适当的设置,获得了两类周期振荡折叠孤子.%Introducing symmetrical expansion and nonlinear transformation, the ( G'/G) -expansion method is extended to investigate a nonlinear coupled Schr(o)dinger system. Some exact solutions with variable separation are constructed for the system. The solutions involve two arbitrary functions of independent variables. By setting properly the arbitrary functions in the solutions, two types of folded solitons with periodic vibration are observed.