研究了耦合广义非均匀非线性薛定谔-麦克斯韦-布洛赫方程所描述的非均匀掺铒光纤系统中不同非线性局域波的色散与非线性管理问题.利用相似变换求解非均匀非线性薛定谔-麦克斯韦-布洛赫方程, 得到一个非自治的通解形式.该解在非均匀掺铒光纤系统中包含了众多的非线性局域波结构.从非线性局域波的复现与相移非线性局域波考虑, 在色散与非线性管理系统下分析了呼吸子和多峰孤子的动力学特性.结果表明在非均匀掺铒光纤系统中存在新的非线性局域波结构, 并且在色散与非线性管理系统下非线性局域波的结构呈现多样性, 这对实际的光纤通信理论有参考意义.

The dispersion-nonlinearity-managed of different types of nonlinear localized waves was studied in an inhomogeneous erbium-doped fiber system, which is described by the coupled generalized inhomogeneous nonlinear Schdinger-Maxwell-Bloch equation. A united nonautonomous solution was obtained by using similarity transformation from an inhomogeneous nonlinear Schdinger -Maxwell-Bloch equation. The solution includes lots of the structures of nonlinear local wave in this system. The dynamics properties of breathers and multi-peaks solitons are analyzed from two perspectives, including periodically distributed amplification and phase-shifting nonlinear localized waves. The results show that the novelty structure of nonlinear local wave does exist in an inhomogeneous erbium-doped fiber system and appears diversity under the management of dispersion and nonlinearity, and has a guiding significance in practice theoretically for optical fiber communications.