AI 中文总结
研究立方-五次介质中多极孤子和涡旋簇，通过线性稳定性分析和数值模拟，发现特定条件下涡旋簇可从多极子或二阶环形孤子分叉，揭示了N=2和4的上支涡旋簇的稳定特性及形成机制。
AI 中文摘要
我们研究了在受谐波捕获的立方-五次介质中多极孤子和涡旋簇的存在性、稳定性及传播动力学。发现由N个偏心涡旋组成、拓扑电荷m交替为+(-)1且均匀分布在环上的涡旋簇，当N≤4时可从多极孤子分叉，N>4时从二阶环形孤子分叉。严格的线性稳定性分析及直接数值模拟表明，N=2和4的上支涡旋簇在宽传播常数范围内保持稳定，揭示了涡旋簇的形成机制。
英文摘要
We address the existence, stability, and propagation dynamics of multipole solitons and vortex clusters in cubicquintic media subject to a harmonic trapping potential.We found that vortex clusters comprising N off centered vortices with alternating topological charges m equal to +(-)1, evenly distributed on a ring, can bifurcate from a multipole soliton for N less than or equal to 4 and from a second-order ring soliton for N greater than 4. Rigorous linear stability analysis, corroborated by direct numerical simulations, shows that upper branch vortex clusters with N equal to 2 and 4 remain stable over a wide range of the propagation constant. Thus, we reveal the formation mechanism of vortex clusters.
Commentsto be published in Optics Letters
