Mock-integrability and stable solitary vortices

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number112782
JournalChaos, Solitons and Fractals
Publication statusPublished - Dec 2022


  • Jupiter's Red-spot
  • KdV dynamics
  • Soliton
  • Two-dimensional system
  • Williams–Yamagata–Flierl equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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