47180

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations

ISBN/ISSN: 

0377-9017

DOI: 

10.1007/s11005-015-0800-z

Наименование источника: 

  • Letters in Mathematical Physics

Обозначение и номер тома: 

Vol. 105, № 12

Город: 

  • Berlin

Издательство: 

  • Springer -Verlag GmbH

Год издания: 

2015

Страницы: 

1703-1723
Аннотация
We study integrable non-degenerate Monge–Ampere equations of Hirota type in 4D and demonstrate that their symmetry algebras have a distinguished graded structure, uniquely determining those equations. This knowledge is used to deform these heavenly type equations into new integrable PDEs of the second-order with large symmetry pseudogroups. We classify the symmetric deformations obtained in this way and discuss self-dual hyper-Hermitian geometry of their solutions, thus encoding integrability via the twistor theory.

Библиографическая ссылка: 

Kruglikov B.S., Морозов О.И. Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations // Letters in Mathematical Physics. 2015. Vol. 105, № 12. С. 1703-1723.