Simulation of instability of bright solitons for NLS with saturating nonlinearity
Simulation of instability of bright solitons for NLS with saturating nonlinearity
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饱和非线性 NLS 亮孤子不稳定性仿真
DOI：
10.1016/s0378-4754(01)00323-8
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
V. E. Grikurov
中科院分区：
文献类型：
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作者：
V. Buslaev;V. E. Grikurov
本文研究了广义1+1非线性薛定谔方程iut +uxx+| u| 2pu−α| u| 2qu=0，α>0，q>p，这是激光在具有饱和度的非线性光学材料中的传输模型。本文主要研究了小扰动下孤子的“自压缩”效应和碰撞引起的俘获现象。
The paper deals with the generalized 1+1 nonlinear Schrödinger equation i ut+uxx+|u|2pu−α|u|2qu=0, α>0, q>p , which is the model of laser propagation throughout nonlinear optic materials with a saturation. We are focus on the numerical study of the effect of soliton’s “self-compression” under small perturbations and on the trapping phenomena due to collisions.