67506

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Integrability structures of the generalized Hunter--Saxton equation

ISBN/ISSN: 

1664-2368

DOI: 

10.1007/s13324-021-00490-8

Наименование источника: 

  • Analysis and Mathematical Physics

Обозначение и номер тома: 

Vol.11, Iss. 2

Город: 

  • Berlin

Издательство: 

  • Springer

Год издания: 

2021

Страницы: 

50, (21) https://link.springer.com/article/10.1007/s13324-021-00490-8
Аннотация
We consider integrability structures of the generalized Hunter--Saxton equation. In particular, we obtain the Lax кepresentation with nonremovable spectral parameter, find local recursion operators for symmetries and cosymmetries, generate an infinite-dimensional Lie algebra of higher symmetries, and prove existence of infinite number of cosymmetries of higher order. Further, we give an example of employing the higher order symmetry to constructing exact globally defined solutions for the generalized Hunter--Saxton equation.

Библиографическая ссылка: 

Морозов О.И. Integrability structures of the generalized Hunter--Saxton equation // Analysis and Mathematical Physics. 2021. Vol.11, Iss. 2 . С. 50, (21) https://link.springer.com/article/10.1007/s13324-021-00490-8.