Symmetries of the Continuous and Discrete Krichever-Novikov Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Symmetries of the Continuous and Discrete Krichever-Novikov Equation
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| Creator |
Levi, D.
Winternitz, P. Yamilov, R.I. |
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| Description |
A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. The dimension n of the Lie point symmetry algebra satisfies 1≤n≤5. The highest dimensions, namely n=5 and n=4 occur only in the integrable cases.
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| Date |
2019-02-15T17:03:19Z
2019-02-15T17:03:19Z 2011 |
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| Type |
Article
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| Identifier |
Symmetries of the Continuous and Discrete Krichever-Novikov Equation / D. Levi, P. Winternitz, R.I. Yamilov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35B06; 35K25; 37K10; 39A14 http://dspace.nbuv.gov.ua/handle/123456789/147657 |
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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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