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.
Original language | English |
---|---|
Article number | 112782 |
Journal | Chaos, Solitons and Fractals |
Volume | 165 |
DOIs | |
Publication status | Published - Dec 2022 |
Keywords
- Jupiter's Red-spot
- KdV dynamics
- Soliton
- Two-dimensional system
- Williams–Yamagata–Flierl equation
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Mathematics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics