Mock-integrability and stable solitary vortices
Mock-integrability and stable solitary vortices
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DOI：
10.1016/j.chaos.2022.112782
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发表时间：
2022-04
期刊：
影响因子：
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通讯作者：
Y. Koike;A. Nakamula;Akihiro Nishie;K. Obuse;N. Sawado;Yamato Suda;K. Toda
中科院分区：
文献类型：
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作者：
Y. Koike;A. Nakamula;Akihiro Nishie;K. Obuse;N. Sawado;Yamato Suda;K. Toda
对（2+ 1）维水动力演化方程的局部类孤子解进行了数值研究。这个方程就是所谓的Williams-Yamagata-Flierl方程，它在一定的参数范围内支配地转流体。虽然方程不具有一般意义上的可积结构，但我们发现在特定的背景流和初始条件下存在具有很长寿命的保形解。研究了两个类孤子物体在融合过程中局域化的稳定性。对于局域化长期稳定性的指标，我们提出了构型熵的概念，该概念已被引入到场论中对非拓扑孤子的分析中。
Localized soliton-like solutions to a (2+ 1)-dimensional hydro-dynamical evolution equation are studied numerically. The equation is the 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 a 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.