【摘要】 考虑带有变增益/损耗和频率啁啾的非线性薛定谔方程,利用达布变换求得该方程的N-孤子解,并给出带有变增益/损耗和频率啁啾的一孤子解和二孤子解的精确表达式。特别地,详细讨论了孤子周期分布放大系统的动力学行为。结果表明,带有变增益/损耗和频率啁啾的孤子解可以应用于周期分布放大系统,同时保留了孤子的特性。更多还原

【Abstract】 Nonlinear Schrdinger equation with varying gain/loss and frequency chirping is discussed. By employing Darboux transformation based on Lax pair, N-solitary solution is obtained, and then one- and two-soliton solutions with varying gain/loss and frequency chirping are generated. Particularly, the dynamics of soliton periodic distributed amplification system is discussed in detail. The results show that the soliton solutions with varying gain/loss and frequency chirping can be applied in the periodic distributed amplification system remaining the chracter of solitons.更多还原