Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
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| Creator |
Ormerod, C.M.
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| Description |
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the reduced equations and their relations to the symmetries of the discrete Painlevé equation. Finally, we exploit the simple symmetric form of the reduced equations to find rational and hypergeometric solutions of this discrete Painlevé equation.
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| Date |
2019-02-11T17:11:42Z
2019-02-11T17:11:42Z 2014 |
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| Type |
Article
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| Identifier |
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation / C.M. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 55 назв. — англ.
DOI:10.3842/SIGMA.2014.002 1815-0659 2010 Mathematics Subject Classification: 39A10; 37K15; 33C05 http://dspace.nbuv.gov.ua/handle/123456789/146850 |
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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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