基于描述超常介质中超短脉冲传输的理论模型,解析得到了超常介质中几种形式的精确亮孤子解及其存在条件。在无损耗的Drude模型下,分析了由于色散的介电常数和磁导率而导致的各阶色散与非线性效应,尤其是高阶效应对亮孤子传输特性的影响。结果表明,高阶色散和高阶非线性效应在亮孤子的形成和传输特性方面起着至关重要的作用。

In this paper,based on the higher-order nonlinear Schrdinger equation describing the propagation of ultrashort pulses in metamaterials,we analytically obtain several cases of exact bright soltion solutions and the existence conditions of these solutions.Furthermore,we investigate the dispersion and nonlinear effects which result from dispersive dielectric permittivity and magnetic permeability in meta-materials under a lossless Drude mode.And we pay more attention to the influence of the higher-order effects on the properties of bright soltion solutions.The results show that the higher-order dispersion and nonlinear effects play important roles in the formation and properties of these bright soltions.