Mock-integrability and stable solitary vortices

Yukito Koike, Atsushi Nakamula, Akihiro Nishie, Kiori Obuse, Nobuyuki Sawado, Yamato Suda and Kouichi Toda

Chaos, Solitons & Fractals, 2022, vol. 165, issue P1

Abstract: 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.

Keywords: Soliton; KdV dynamics; Two-dimensional system; Williams–Yamagata–Flierl equation; Jupiter’s Red-spot (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009614

DOI: 10.1016/j.chaos.2022.112782

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