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Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
Інший ID:
2010 Mathematics Subject Classification: 37K25; 35Q53
DOI:10.3842/SIGMA.2014.048
DOI:10.3842/SIGMA.2014.048
Посилання:
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows / A. Fujioka, T. Kurose // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 32 назв. — англ.
Підтримка:
The authors would like to thank the referees’ kind and important comments and advice. The
first named author is partly supported by JSPS KAKENHI Grant Number 22540070 and by the
Kansai University Grant-in-Aid for progress of research in graduate course, 2013. The second
named author is partly supported by JSPS KAKENHI Grant Number 22540107.
Дата:
2014
Переглядів:
516
Завантажень:
252
Анотація:
Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher mKdV flows are also given on spaces of closed Euclidean plane curves via the geometric Miura transformation.
