Liouville Correspondences between Integrable Hierarchies
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Liouville Correspondences between Integrable Hierarchies
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| Creator |
Kang, J.
Liu, X. Olver, P.J. Qu, C. |
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| Description |
In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equations, and the isospectral problems of the Degasperis-Procesi and Kaup-Kupershmidt equations relate the corresponding hierarchies, in both positive and negative directions, as well as their associated conservation laws. Combining these results with the Miura transformation relating the Sawada-Kotera and Kaup-Kupershmidt equations, we further construct an implicit relationship which associates the Novikov and Degasperis-Procesi equations.
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| Date |
2019-02-18T16:47:36Z
2019-02-18T16:47:36Z 2017 |
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| Type |
Article
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| Identifier |
Liouville Correspondences between Integrable Hierarchies / J. Kang, X. Liu, P.J. Olver, C. Qu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 64 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37K05; 37K10 DOI:10.3842/SIGMA.2017.035 http://dspace.nbuv.gov.ua/handle/123456789/148632 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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