TY - JOUR
T1 - Mock-integrability and stable solitary vortices
AU - Koike, Yukito
AU - Nakamula, Atsushi
AU - Nishie, Akihiro
AU - Obuse, Kiori
AU - Sawado, Nobuyuki
AU - Suda, Yamato
AU - Toda, Kouichi
N1 - Funding Information:
The authors would like to thank Satoshi Horihata, Hiroshi Kakuhata, Ryu Sasaki, Yakov Shnir, Yves Brihaye and Paweł Klimas for many useful advice and comments. N.S. deeply thanks Rafael Augusto Couceiro Correa for drawing our attention to the configurational entropy. A.N. and N.S. would like to thank Luiz Agostinho Ferreira for the kind hospitality at Instituto de Física de São Carlos, Universidade de São Paulo. Discussions during the YITP workshop YITP-W-20-03 on “Strings and Fields 2020” and YITP-W-21-04 on “Strings and Fields 2021” have been useful to complete this work. A.N., N.S. and K.T. were supported in part by JSPS, Japan KAKENHI Grant Number JP20K03278 .
Funding Information:
The authors would like to thank Satoshi Horihata, Hiroshi Kakuhata, Ryu Sasaki, Yakov Shnir, Yves Brihaye and Paweł Klimas for many useful advice and comments. N.S. deeply thanks Rafael Augusto Couceiro Correa for drawing our attention to the configurational entropy. A.N. and N.S. would like to thank Luiz Agostinho Ferreira for the kind hospitality at Instituto de Física de São Carlos, Universidade de São Paulo. Discussions during the YITP workshop YITP-W-20-03 on “Strings and Fields 2020” and YITP-W-21-04 on “Strings and Fields 2021” have been useful to complete this work. A.N. N.S. and K.T. were supported in part by JSPS, Japan KAKENHI Grant Number JP20K03278.
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/12
Y1 - 2022/12
N2 - 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.
AB - 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.
KW - Jupiter's Red-spot
KW - KdV dynamics
KW - Soliton
KW - Two-dimensional system
KW - Williams–Yamagata–Flierl equation
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U2 - 10.1016/j.chaos.2022.112782
DO - 10.1016/j.chaos.2022.112782
M3 - Article
AN - SCOPUS:85140737391
SN - 0960-0779
VL - 165
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 112782
ER -