论文标题
模拟积极性和稳定的孤立涡流
Mock-integrability and stable solitary vortices
论文作者
论文摘要
数值研究了$（2+1）$ - 尺寸水力动力学方程的本地化孤子样解决方案。该方程是所谓的Williams-Yamagata-Flierl方程，该方程在特定参数范围内控制着地型流体。尽管该方程在普通意义上没有可集成的结构，但我们发现存在具有很长寿命的形状保存解决方案在特殊的背景流和初始条件下。还研究了在两个孤子样物体的融合过程中定位的稳定性。至于定位的长期稳定性的指标，我们提出了一个构型熵的概念，该概念已在现场理论中的非主孤子分析中引入。
Localized soliton-like solutions to a $(2+1)$-dimensional hydro-dynamical evolution equation are studied numerically. The equation is so-called Williams-Yamagata-Flierl equation, which governs geostrophic fluid in a certain parameter range. Although the equation does not have an integrable structure in the ordinary sense, we find there exist shape-keeping solutions with very long life in a special background flow and an initial condition. The stability of the localization at the fusion process of two soliton-like objects is also investigated. As for the indicator of the long-term stability of localization, we propose a concept of configurational entropy, which has been introduced in analysis for non-topological solitons in field theories.
