Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation

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 Painlev...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2014
Автор: Ormerod, C.M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146850
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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.