Fomin-Kirillov代数及其子代数的模
斑图形成与孤子
2025-07-22 v1 光学
摘要
我们计算了与某些图相关联的 Fomin-Kirillov 代数子代数的截断点方案。尽管 Fomin-Kirillov 代数不存在任何截断点模，但我们证明了与树相关联的广义 Fomin-Kirillov 代数截断点模的最高次数的紧界。
关键词
引用
@article{arxiv.2410.16576,
title = {Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift},
author = {Avner Peleg and Debananda Chakraborty},
journal= {arXiv preprint arXiv:2410.16576},
year = {2025}
}
备注
The paper demonstrates stabilization of optical solitons against radiation emission in the presence of weak linear gain-loss, cubic loss, and the collisional Raman frequency shift. It significantly extends the stabilization method that was proposed in arXiv:1804.03226 by showing that the proposed method works even when the underlying radiative instability due to linear gain is strong